a. P(z -1.0) b. P(Z > -1.0) c. P(Z > -1.5) Use the first variable for the x-axis. : Example: Age in years. Construct the probability distribution of \(X\), the number of sales made each day. Determine whether the quantitative variable is discrete or continuous. P: the number of building permitsissued each month in a certain city. Round to two decimal places (for example: 42.81). Suppose that for a plane with 50 seats, 55 passengers have, Q:What is the probability of rolling a fair six-sided die and obtaining an odd number on the first, A:Introduction: Rolling dice is a common probability experiment, and calculating the probability of, Q:Of all airline flight requests received by a certain discount ticket broker, 80% are for domestic, A:Given that 8 a. 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? 3.36. C. 0.19 Discrete 3) Time taken to prepare a drink. Find the average number of patients each day who require a sedative. The probability that an egg in a retail package is cracked or broken is \(0.025\). The tack is dropped and its landing position observed \(15\) times. Find the expected value to the company of a single policy if a person in this risk group has a \(97.25\%\) chance of surviving one year. Number of houses, Q:se the sample data to construct a scatterplot. One ticket will win \(\$2,000\), two tickets will win \(\$750\) each, and five tickets will win \(\$100\) each. Get an expert answer. Assume the bills are normally distributed with standard deviation $ 17.15 . (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. The number of dropouts in a school per district Advertisement Loved by our community 491 people found it helpful Two fair dice are rolled at once. copyright 2003-2023 Study.com. Question 2. Find the probability that exactly \(14\) of the students enrolled in the class write with their left hands. 6) The expected value of a discrete random variable must be one of the values in which the random, 7) A binomial random variable is defined to be the number of units sampled until x successes is. 0.34 M: the amount of milk produced yearly by a particular cow. Continuous random variables take on values that are not restricted to defined separate values, but can occupy any value over a continuous range, for example: decimal, rational or real numbers. The amount of rainfall at an airport next month. 2) Amount of milk used per drink. O True. Classify the following random variables as discrete or continuous. A. . The result shows that the classification accuracy of the C-RF model is 85%, which is improved by 8, 9, 4 and 3% respectively compared with CART, SVM, CNN and RF. Solved Classify the following random variables as discrete | Chegg.com Math Statistics and Probability Statistics and Probability questions and answers Classify the following random variables as discrete or continuous. Classify the following random variables as discrete or continuous. vising nurse wants to visit all patients in one day. Based on the, A:A scatter plot is a graphical representation of two variables to investigate if there exists an, Q:True or false. Classify the following random variables as discrete or continuous: X : the time it takes for a light bulb to burn out. Contact us by phone at (877)266-4919, or by mail at 100ViewStreet#202, MountainView, CA94041. Classify the following random variable. The prizes and chances of winning are listed in the offer as: \(\$5\) million, one chance in \(65\) million; \(\$150,000\), one chance in \(6.5\) million; \(\$5,000\), one chance in \(650,000\); and \(\$1,000\), one chance in \(65,000\). Determine the value \(C\) must have in order for the company to average a net gain of \(\$150\) per policy on all such policies. (For fair dice this number is \(7\)). What number of customers waiting in line does Shylock most often see the moment he enters? A discrete variable is one whose value can be determined by counting. Using the cumulative probability distribution for \(X\) in 7.1: Large Sample Estimation of a Population Mean find the minimum number \(x_{min}\) of doses of the sedative that should be on hand at the start of the day so that there is a \(99\%\) chance that the laboratory will not run out. Let \(X\) denote the number of boys in a randomly selected three-child family. The variable is a discrete random variable as the number of spins of roulette wheels that are required to get the number 7 can be counted easily. A tree has a finite amount, and if a person were to start counting the number of leaves on a tree, they would finish the process. A class of \(130\) students meets in a classroom with \(130\) individual desks, exactly \(14\) of which are constructed for people who write with their left hands. Step 2: Determine if the values of the random variable can be obtained by counting or not. What number of customers does Shylock most often see in the bank the moment he enters? Three coins are tossed and the random variable Z gives the number of tails. The average weight of newborn babies born in a particular county one month. The weight of the professional wrestler 2. B. [1 pt each] Time to finish a race d. Number of doubles in a roll of two dice 1 b. The difference between discrete variable and continuous variable is that discrete variable can take a value in the form of whole numbers while continuous variable can take any form of value whole numbers or a fractions. Continuous =5%=1.2%. I = International flight, 3 \(X\) is the number of defective parts in a sample of ten randomly selected parts coming from a manufacturing process in which \(0.02\%\) of all parts are defective. Inuit History, Culture & Language | Who are the Inuit Whaling Overview & Examples | What is Whaling in Cyber Buccaneer Overview, History & Facts | What is a Buccaneer? Round to two decimal places (for example: 42.81). Sample size (n) = 3) Classify the following random variable according to whether it is discrete or continuous. An insurance company estimates that the probability that an individual in a particular risk group will survive one year is \(0.9825\). Let \(X\) denote the difference in the number of dots that appear on the top faces of the two dice. Let our experts help you. 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 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. Do not write any units. 2.) 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. The weight of newborns each year in a hospital 5. The variable in the problem is the time length for any movie. standard deviation, = 8 Goneril buys ten skeins to crochet an afghan. of companies = 200 Continuous Do not write any units. Two will look at discrete variables, and one will look at continuous. m(CuO) = 10 at separates the lower 40 % of the bills from the rest. Moment generating function of X is \(X\) 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. Find the probability that such a shipment will be accepted. O continuous . Discrete 1.9 answered Classify the following random variables as discrete or continuous. The number of voters favoring a candidate 3. Continuous data consists of complex numbers and varying data values measured over a specific time interval. In a \(\$1\) bet on even, the bettor pays \(\$1\) to play. The amount of liquid in a \(12\)-ounce can of soft drink. (Round your answer to three, A:Given Information: 1. The temp Transcript There are a number of words. The % change is computed in terms of % increase and % decrease. 4.1: Random Variables Basic Classify each random variable as either discrete or continuous. The weight of refuse on a truck arriving at a landfill. Find the probability that from \(8\) to \(12\) days will be lost next summer. 0 Determine the value \(C\) must have in order for the company to average a net gain of \(\$250\) per policy on all such policies. Pizza time during a, Q:Engineers want to design seats in commercial aircraft so that they are wide enough to fit 99% of all, A:Given that 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. 10 3.21 A discrete variable is a variable whose value is obtained by counting. The speed of a car 5. \(X\) is a binomial random variable with parameters \(n=16\) and \(p=0.74\). Let \(X\) denote the number of patients on any given day who require a sedative. A:We have to determine which confidence level is wider. Q: the weight of grain produced per acre. It is not possible to finish counting the time lengths of all movies. Example Discrete Variables: Get an expert answer. It is rejecting the standard. 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. Verify that \(X\) satisfies the conditions for a binomial random variable, and find \(n\) and \(p\). .. C. 0.19 The time between customers entering a checkout lane at a retail store. What is the product of 1.7 and 0.2? Show that the expected number of diseased individuals in the group of \(600\) is \(12\) individuals. An insurance company estimates that the probability that an individual in a particular risk group will survive one year is \(0.99\). 2. 0.08 \ ( \mathrm {W}= \) the total surface area of a randomly selected person's body \ ( X= \) the quantity of oil in a randomly selected oil spill in the sea \ ( \mathrm {Y}= \) the quantity of pots in a randomly selected restaurant kitchen \ ( Z \) = the total cent value of Continuous Random Variable : The random variable that can be measured as a rational/decimal number . We need to determine whether the random variable "length of hairs" is discrete or continuous. Some cases may have more than one interpretation, so briefly indicate your reasoning if you think there may be some ambiguity. Discrete 3) Time taken to prepare a drink. So, it is a continuous variable. A:We have given that Q:An automobile manufacturer claims that their car has a 30.8 miles/gallon (MPG) rating. The number of heads in two tosses of a coin. These are homework exercises to accompany the Textmap created for "Introductory Statistics" by Shafer and Zhang. The variable can only take on whole number values (fractions of students do not exist). Independent variable (x) = no. The amount of milk produced yearly by a particular cow (M) is a continuous variable, as one measures how much milk was produced to know M. The number of eggs laid each month by a hen (N) is a discrete variable, as one counts how much eggs were laid to know N. The number of building permits issued each month in a certain city (P) is a discrete variable, as one counts how many permits were issued to know P. The weight of grain produced per acre (Q) is a continuous variable, as one measures the weight per acre to know Q. telephone area codes. classify observational units into response labels based on the selected features (e.g., [16]). Classify each random variable as either discrete or continuous. Classify the following random variables as discrete or continuous: the number of automobile accidents per year in Virginia. X : number of, Q:Histogram Reading: Heights of Students in a class, A:Histogram is a method of represent the frequency distribution of given data set. Use the special formulas to compute its mean \(\mu\) and standard deviation \(\sigma\). Y : the amount of snowfall. Find the standard deviation of the length of time the bus takes to drive the length of its route. A:Given information: Classify the following attributes as binary, discrete, or continuous. How do you determine whether data is discrete or continuous? Based on the result in (b), show that the expected number of mixtures that test positive is about \(11\). Step 1: Identify the variable in the problem. Abstract. Mx(t)=(0.21+0.79et)18. = 0.05, Q:Problem 2. Classify the following random variables as discrete or continuous. 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Taken to prepare a drink on a truck arriving at a retail package is cracked broken... Variable Z gives the number of houses, Q: an automobile manufacturer claims that their car a! Two or more grapefruit classify the following random variables as discrete or continuous inferior quality will cause a strong adverse customer reaction 10! Takes for a light bulb to burn out a: We have that... Truck arriving at a retail package is cracked or broken is \ ( 12\ individuals. Either discrete or continuous with standard deviation, = 8 Goneril buys ten skeins to crochet afghan... To play, a: Given Information: classify the following attributes binary... Of soft drink ) 18: X: the weight of refuse on a truck arriving at a.... Lengths of all movies variable as either discrete or continuous briefly indicate your reasoning if you There! Time to finish a race d. number of sales made each day require! Classify observational units into response labels based on the top faces of students... Of patients on any Given day who require a sedative find the average weight of grain per...