Three coins are tossed and the random variable Z gives the number of tails. 80 An insurance company estimates that the probability that an individual in a particular risk group will survive one year is \(0.9825\). 0.77 Many phenomena can be viewed as examples of a random walk. Discrete 3) Time taken to prepare a drink. vising nurse wants to visit all patients in one day. 1) Classify the following random variable according to whether it is discrete or continuous. Q:The values of P(Z0.1) and P (Z0.1) are the same. Variable M consists of amount of milk produced which can't be counted but can be measured. Let \(X\) denote the number of patients on any given day who require a sedative. The number of hearts in a five-card hand drawn from a deck of \(52\) cards that contains \(13\) hearts in all. Level of significance () = 0.1 The amount that households pay service providers for access to the, A:For the distribution of internet service fees (which is stated to be not normal), it is given that:, Q:Automobile manufacturers are interested in the difference in reaction times for drivers reacting to, A:Given data is The probability that an egg in a retail package is cracked or broken is \(0.025\). If the correlation coefficient is -0.80, below-average values of the dependent (y). \(X\) is the number of dice that show an even number of dots on the top face when six dice are rolled at once. If the ball does not land on an even numbered slot, he loses his dollar. Suppose a shipment has \(5\) defective units. Find the probability that it lands with its point in the air at least \(7\) times. Discrete 3) Time taken to prepare a drink. (A) The number of people in India (B) The number of planets in the universe (C) The blood pressures of patients admitted to a hospita read more Hasan Bachelor's Degree 1,919 satisfied customers 2.Classify the following as discrete or continuous random variables A. Discrete 2) Amount of milk used per drink. No. : The function f(x) = -x^4 + 3 does not have an absolute maximum. I = International flight, If the player rolls doubles all three times there is a penalty. The number of winners in lotto for each day 3. The denominator isn't zero. The temperature of a cup of coffee served at a restaurant. Why? Find the expected value to the company of a single policy if a person in this risk group has a \(99.62\%\) chance of surviving one year. The weight of the professional wrestler. So, it is a continuous variable. Find the probability that the first person he encounters will be able to speak English. state your reason for each., what is the algebraic expression of: the sum of 6 and n times 3 . Continuous and Discrete Random Variable: A discrete random variable is countable and doesn't include fractions whereas a continuous random variable can have values in a fraction. the amount of water you drink everyday 5. the number of students in a school Continuous Variable: A random variable whose amount can take on any value in a specified range. Q:An automobile manufacturer claims that their car has a 30.8 miles/gallon (MPG) rating. 2010, 31, 2225-2236. Can you think of a counter-example that may contradict your assumptions?. If so, give the values of \(n\) and \(p\). The tourist sees four local people standing at a bus stop. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers. Example: height, weight and temperatures SEATWORK Classify the following random variables as DISCRETE or CONTINUOUS: 1.) \(X\) is a binomial random variable with the parameters shown. If the ball does not land on red he loses his dollar. It would take you literally forever: 50, 50.1, 50.11, 50.111, 50.1111, Find the probability that it lands heads up at most five times. Let \(X\) denote the number of the next \(20\) purchasers who do so. Find step-by-step Probability solutions and your answer to the following textbook question: Classify the following random variables as discrete or continuous: $$ X: \text{the number of automobile accidents per year in Virginia.} The number \(X\) of days in the summer months that a construction crew cannot work because of the weather has the probability distribution \[\begin{array}{c|c c c c c} x &6 &7 &8 &9 &10\\ \hline P(x) &0.03 &0.08 &0.15 &0.20 &0.19 \\ \end{array}\] \[\begin{array}{c|c c c c } x &11 &12 &13 &14 \\ \hline P(x) &0.16 &0.10 &0.07 &0.02 \\ \end{array}\]. the number of . Step 2: Determine if the values of the random variable can be obtained by counting or not. Find the probability that \(X\) is two, three, or four. \(X\) is the number of hearts in a five-card hand drawn (without replacement) from a well-shuffled ordinary deck. How can a circle can be interpreted as a special case of an ellipse? Stars and constellations - Earth and Space, The Practice of Statistics for the AP Exam, Daniel S. Yates, Daren S. Starnes, David Moore, Josh Tabor, Statistical Techniques in Business and Economics, Douglas A. Lind, Samuel A. Wathen, William G. Marchal, Elementary Statistics: Picturing the World. Variable X consists of number of automobile accidents which can be counted. One, A:This question examines the correlation between height and weight in a study of a representative, Q:An engineer was interested in the effect of two factors on strength of sheet castings of a \(X\) is the number of voters in favor of proposed law in a sample \(1,200\) randomly selected voters drawn from the entire electorate of a country in which \(35\%\) of the voters favor the law. Get access to thousands of practice questions and explanations! The number of pitches made by a starting pitcher in a major league baseball game. infinitely uncountable number of potential values, regularly. What number of customers waiting in line does Shylock most often see the moment he enters? 93 Find the standard deviation of the length of time the bus takes to drive the length of its route. A fair coin is tossed repeatedly until either it lands heads or a total of five tosses have been made, whichever comes first. P(Z0.1) and P (Z0.1), Q:This table gives approximate probabilities for scoring 0, 1, 2, 3, or 4 runs in one inning of Major, A:From given data we have : If not, explain why not. f- if it takes on values on a continuous scale. The number of coins that match when three coins are tossed at once. 3.77 Tamang sagot sa tanong: Classify the following random variables as DISCRETE or CONTINUOUS 6. the speed of a car on Route 3 1. the number of questions on a math 2. the number of puppies in a liter 3. the letters in the English alphabet4. Result: Continuous. P(x) It is possible for a person to start counting the values in a discrete data set and finish counting them. In the context of a variable selection, in [10] and [17], the authors have pro-posed approaches by means of large-scale simultaneous testing so as to identify the most associative m/z values with the (cancerous) outcome variables. Compute the probability indicated. M: the time required to download a file from the Internet. Find the average time the bus takes to drive the length of its route. The number of arrivals at an emergency room between midnight and 6: 00 a. m. The weight of a box of cereal labeled " 18 ounces." The duration of the next outgoing telephone call from a business office. : Explain fully. The number of new cases of influenza in a particular county in a coming month. The LibreTexts libraries arePowered by NICE CXone Expertand are supported by the Department of Education Open Textbook Pilot Project, the UC Davis Office of the Provost, the UC Davis Library, the California State University Affordable Learning Solutions Program, and Merlot. Find the probability of rolling doubles all three times. Identify the set of possible values for each random variable. The number of injuries occurring to children at a school. 3. View this solution and millions of others when you join today! Find the probability that it lands heads up more times than it lands tails up. Tybalt receives in the mail an offer to enter a national sweepstakes. \(X\) is the number of black marbles in a sample of \(5\) marbles drawn randomly and without replacement from a box that contains \(25\) white marbles and \(15\) black marbles. Discrete Variable: A random variable whose amount is finite and countable. If either one of the units is defective the shipment is rejected. 98 N: the number of eggs laid each month by a hen. What is the smallest positive integer that is divisible by all positive integers from 1 to 20 inclusive? Circle the correct answer. (Supposing that indeed \(11\) of the \(60\) mixtures test positive, then we know that none of the \(490\) persons whose blood was in the remaining \(49\) samples that tested negative has the disease. Number of diamonds in a poker hand e. Hours spent answering a test 1 c. Height of 100 students 1 2. . It needs to be positive on the interval, which is good here needs to be continuous. Classify the following random variables as continuous or discrete: the weight of a seventeen year old student. types of variables in statistics ppter wait times university hospital. "Introductory Statistics" by Shafer and Zhang. An insurance company will sell a \(\$90,000\) one-year term life insurance policy to an individual in a particular risk group for a premium of \(\$478\). Answer to: Classify the following random variable as one of the following: binomial, discrete uniform, geometric, hypergeometric, Poisson, or. The duration of the next outgoing telephone call from a business office. If a carrier is boarded with four other dogs, what is the probability that at least one of the four healthy dogs will develop kennel cough? The probability of rolling doubles in a single roll of a pair of fair dice is \(1/6\). Q:(a) Perform The temp Transcript There are a number of words. sample size (n)=25 standard deviation (s)=8mL Discrete vs Continuous variables: Steps Step 1: Figure out how long it would take you to sit down and count out the possible values of your variable. \(X\) is a binomial random variable with parameters \(n=16\) and \(p=0.74\). Construct the probability distribution of \(X\), the number of sales made each day. Hamburger [1 pt each] Time to finish a race d. Number of doubles in a roll of two dice 1 b. Circle the correct answer. In a hamster breeder's experience the number \(X\) of live pups in a litter of a female not over twelve months in age who has not borne a litter in the past six weeks has the probability distribution \[\begin{array}{c|c c c c c c c} x &3 &4 &5 &6 &7 &8 &9 \\ \hline P(x) &0.04 &0.10 &0.26 &0.31 &0.22 &0.05 &0.02\\ \end{array}\]. Q:The current U.S. population is about 330 million people. Find the probability that no more than ten days will be lost next summer. Math Statistics Topic: CENTRALIZATION AND DISPERSION MEASURES DISCRETE VARIABLE In a group of families considering the number of children, the following values have been obtained 2 0 2 4 4 6 6 4 6 7 4 4 7 4 2 0 4 6 7 7 A. Lunch choice What is the product of 1.7 and 0.2? He makes four sales calls each day. The number of cups of coffee sold in a cafeteria during lunch. In a \(\$1\) bet on even, the bettor pays \(\$1\) to play. An English-speaking tourist visits a country in which \(30\%\) of the population speaks English. =5%=1.2%. y t * is a latent continuous variable, . Write only a number as your answer. Let X be the random variable for the length of the leaves on a tree. The number \(X\) of customers in the bank who are either at a teller window or are waiting in a single line for the next available teller has the following probability distribution. P(D) = 0.80, P(I) = 0.20 The number of clerical errors on a medical chart. The number of heads in two tosses of a coin. O True. Continuous . The length of time to play 18 holes of golf (Y) is a continuous variable, as it can take 2 hours, or 2.5 hours, or 2 hours, 30 minutes, 2 seconds, one measures how long it took to play 18 holes to know Y. To do so assume that if the cover were in place the revenue each night of the season would be the same as the revenue on a clear night. The number of vehicles owned by a randomly selected household. A discrete variable is a variable whose value is obtained by counting. m(Cu(NO3)2) = ? Instead of testing all \(600\) blood samples to find the expected \(12\) diseased individuals, investigators group the samples into \(60\) groups of \(10\) each, mix a little of the blood from each of the \(10\) samples in each group, and test each of the \(60\) mixtures. 13. The number of passengers in a passenger vehicle on a highway at rush hour. 0.04 2. weight of the newborns each year in a hospital 3. the number of siblings in a family of a region f 4. the speed of a car 5. the amount of sugar in a cup of coffee span(X). Q:A watch manufacturer claims that their watches on average will neither gain nor lose Classify the following as discrete or continuous random variables. Borachio works in an automotive tire factory. 0.01, Q:A researcher plans to use a random sample of n=500 families to estimate the mean monthly family, A:Researcher plans to use N = 500 families The tack is dropped and its landing position observed \(15\) times. The area of lots in an exclusive subdivision 8. Mac n Cheese, A:Given that Write an equation about the sum of their weights. Discrete-continuous models are presented in Chapter 15 and demonstrate that interrelated discrete and continuous data need to be modeled as a system rather than individually, such as the choice of . O discrete. $$ $$ Y: \text{the length of time to play 18 holes of golf} $$ $$ M: \text{the amount of milk produced yearly by a particular cow} $$ $$ N: \text{the number of eggs . The number of boys in a randomly selected three-child family. Determine whether or not the table is a valid probability distribution of a discrete random variable. The amount of liquid in a \(12\)-ounce can of soft drink. 3.21 Classify the following random variables as discrete or continuous:X: the number of automobile accidents per year in Virginia. First week only $4.99! Based on projected audience sizes and weather conditions, the probability distribution for the revenue \(X\) per night if the cover is not installed is \[\begin{array}{c|c|c } Weather &x &P(x) \\ \hline Clear &\$3,000 &0.61 \\ Threatening &\$2,800 &0.17 \\ Light Rain &\$1,975 &0.11 \\ Show-cancelling\; rain &\$0 &0.11 \\ \end{array}\]The additional cost of the cover is $410,000. The amount of rain recorded at an airport one day. 0.08 Find the expected number of skeins that contain knots. Continuous Random Variable : The random variable that can be measured as a rational/decimal number . In histogram, we, Q:VOLUNTARY RESPONSE DATA If we have a large voluntary response sample consisting of weights of, A:A graph can certainly help to visualise and understand the data in a voluntary response sample, but, Q:Consider the following data regarding students' college GPAS and high school GPAS. Accessibility StatementFor more information contact us atinfo@libretexts.orgor check out our status page at https://status.libretexts.org. 2. The speed of a car 5. Classify the following random variables as discrete or continuous. Show that the expected number of diseased individuals in the group of \(600\) is \(12\) individuals. How do you determine whether data is discrete or continuous? As sometimes happens with probabilities computed as empirical relative frequencies, probabilities in the table add up only to a value other than \(1.00\) because of round-off error. Find the average number monetary gifts a college can expect from every \(2,000\) solicitations it sends. They take positive integer values, {0, 1, 2, , n}, being [0, n] the interval from which the variable takes values, that means, there is a finite number of possible values. 6 1.9 Correct to give accuracy, the amount of water measured in liters. Provide an appropriate response. Show that the probability that any such mixture will contain the blood of at least one diseased person, hence test positive, is about \(0.18\). Binary Classification In a binary classification task, the goal is to classify the input data into two mutually exclusive categories. A:Given information: Machine learning (ML) is a field of inquiry devoted to understanding and building methods that "learn" - that is, methods that leverage data to improve performance on some set of tasks. Discrete data is a type of numerical data that consists of whole, concrete numbers that have specific and fixed data values determined by counting. We need to determine whether the random variable "weight" is discrete or continuous. Thus, it is a continuous variable. \(X\) is the number of black marbles in a sample of \(5\) marbles drawn randomly and with replacement from a box that contains \(25\) white marbles and \(15\) black marbles. Let \(X\) denote the difference in the number of dots that appear on the top faces of the two dice. \[\begin{array}{c|c c c c} x &0 &1 &2 &3 \\ \hline P(x) &0.135 &0.192 &0.284 &0.230 \\ \end{array}\] \[\begin{array}{c|c c c } x &4 &5 &6 \\ \hline P(x) &0.103 &0.051 &0.005 \\ \end{array}\]. n=12 End of the Civil War: General Grant Begins the March Praxis Elementary Education: Math CKT (7813) Study Guide North Carolina Foundations of Reading (190): Study Guide North Carolina Foundations of Reading (090): Study Guide General Social Science and Humanities Lessons, Study.com ACT® Test Prep: Tutoring Solution, High School Trigonometry: Homeschool Curriculum, MTTC Speech and Language Impaired (057) Prep. N: the number of eggs laid each month by a hen. He needs to ask someone directions. The pattern evident from parts (a) and (b) is that if. 92 Discrete 2) Amount of milk used per drink. Posttest a. P(z -1.0) b. P(Z > -1.0) c. P(Z > -1.5) Mac n cheese Depending on the size of the school district, it might take a while to count, but the process would eventually end. Book: Introductory Statistics (Shafer and Zhang), { "4.01:_Random_Variables" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.
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