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85% of tax returns have computational errors. This means that if we randomly select a tax return, there is a probability of 0.85 that the tax return will have at least one computational error. Whether one tax return has a computational error is independent of whether any other tax return has a computational error. John Jay, a new tax return auditor randomly selects tax returns for audit one after another. Let X = the number of tax returns selected until he selects the 1st return with computational errors. Let Y = the number of tax returns selected until he selects the 2nd return with computational errors. a. What is the probability that the 1st 3 tax returns selected have computational errors? b. What is the expected value of X? c. What is the variance of X? d. What is the probability that X > 3? e. What is the probability that X < 3? f. What is the probability that Y = 4? g. What is the probability that Y < 4?

85% of tax returns have computational errors. This means that if we randomly select a tax return, there is a probability of 0.85 that the tax return will have at least one computational error. Whether one tax return has a computational error is independent of whether any other tax return has a computational error. John Jay, a new tax return auditor randomly selects tax returns for audit one after another. Let X = the number of tax returns selected until he selects the 1st return with computational errors. Let Y = the number of tax returns selected until he selects the 2nd return with computational errors. a. What is the probability that the 1st 3 tax returns selected have computational errors? b. What is the expected value of X? c. What is the variance of X? d. What is the probability that X > 3? e. What is the probability that X < 3? f. What is the probability that Y = 4? g. What is the probability that Y < 4?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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part F G 

85% of tax returns have computational errors. This means that if we randomly select a tax return, there is a probability of 0.85 that the tax return will have at least one computational error. Whether one tax return has a computational error is independent of whether any other tax return has a computational error. John Jay, a new tax return auditor randomly selects tax returns for audit one after another. Let X = the number of tax returns selected until he selects the 1st return with computational errors. Let Y = the number of tax returns selected until he selects the 2nd return with computational errors. a. What is the probability that the 1st 3 tax returns selected have computational errors? b. What is the expected value of X? c. What is the variance of X? d. What is the probability that X > 3? e. What is the probability that X < 3? f. What is the probability that Y = 4? g. What is the probability that Y < 4?
Transcribed Image Text:85% of tax returns have computational errors. This means that if we randomly select a tax return, there is a probability of 0.85 that the tax return will have at least one computational error. Whether one tax return has a computational error is independent of whether any other tax return has a computational error. John Jay, a new tax return auditor randomly selects tax returns for audit one after another. Let X = the number of tax returns selected until he selects the 1st return with computational errors. Let Y = the number of tax returns selected until he selects the 2nd return with computational errors. a. What is the probability that the 1st 3 tax returns selected have computational errors? b. What is the expected value of X? c. What is the variance of X? d. What is the probability that X > 3? e. What is the probability that X < 3? f. What is the probability that Y = 4? g. What is the probability that Y < 4?
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