35% of tax returns have computational errors. This means that if we randomly select a tax return, there is a probability of 0.8 hat the tax return will have at least one computational error. Whether one tax return has a computational error is independer vhether any other tax return has a computational error. John Jay, a new tax return auditor randomly selects tax returns for au one after another. Let X = the number of tax returns selected until he selects the 1st return with computational errors. Let Y = he number of tax returns selected until he selects the 2nd return with computational errors. . What is the probability that the 1st 3 tax returns selected have computational errors? . What is the expected value of X? =. What is the variance of X? 1. What is the probability that X > 3? e. What is the probability that X S 3? . What is the probability that Y = 4?

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.7: Introduction To Coding Theory (optional)
Problem 7E
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part D, E, 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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