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3.72 zero heads, what is coin ten times and obtained Given that we have already tossed a balanced the probability that we must toss it at least two more times to obtain the first head? ten company found that nine of audits contain sub-

3.72 zero heads, what is coin ten times and obtained Given that we have already tossed a balanced the probability that we must toss it at least two more times to obtain the first head? ten company found that nine of audits contain sub-

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Please how do I solve 3.72?
Tube what prodaty of success p. Show that for a positive integer a, P(Y> a) = qª. b Show that for positive integers a and b, P(Y> a+b|Y> a) = qb= P(Y > b). think This result implies that, for example, P (Y> 7|Y> 2) = P(Y> 5). Why do you this property is called the memoryless property of the geometric distribution? c In the development of the distribution of the geometric random variable, we assumed that the experiment consisted of conducting identical and independent trials until the first success was observed. In light of these assumptions, why is the result in part (b) "obvious"? 3.72 Given that we have already tossed a balanced coin ten times and obtained zero heads, what is the probability that we must toss it at least two more times to obtain the first head? 3.73 A certified public accountant (CPA) has found that nine of ten company audits contain sub- stantial errors. If the CPA audits a series of company accounts, what is the probability that the first account containing substantial errors a is the third one to be audited? b will occur on or after the third audited account?
Transcribed Image Text:Tube what prodaty of success p. Show that for a positive integer a, P(Y> a) = qª. b Show that for positive integers a and b, P(Y> a+b|Y> a) = qb= P(Y > b). think This result implies that, for example, P (Y> 7|Y> 2) = P(Y> 5). Why do you this property is called the memoryless property of the geometric distribution? c In the development of the distribution of the geometric random variable, we assumed that the experiment consisted of conducting identical and independent trials until the first success was observed. In light of these assumptions, why is the result in part (b) "obvious"? 3.72 Given that we have already tossed a balanced coin ten times and obtained zero heads, what is the probability that we must toss it at least two more times to obtain the first head? 3.73 A certified public accountant (CPA) has found that nine of ten company audits contain sub- stantial errors. If the CPA audits a series of company accounts, what is the probability that the first account containing substantial errors a is the third one to be audited? b will occur on or after the third audited account?
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