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3.69 in order to ma te mist one About six months into George W. Bush's second term as president, a Gallup poll indicated that a near record (low) level of 41% of adults expressed "a great deal" or "quite a lot" of confidence in the U.S. Supreme Court (http://www.gallup.com/poll/content/default.aspx?ci=17011, June 2005). Suppose that you conducted your own telephone survey at that time and randomly called people and asked them to describe their level of confidence in the Supreme Court. Find the probability distribution for Y, the number of calls until the first person is found who does not express "a great deal" or "quite a lot" of confidence in the U.S. Supreme Court.

3.69 in order to ma te mist one About six months into George W. Bush's second term as president, a Gallup poll indicated that a near record (low) level of 41% of adults expressed "a great deal" or "quite a lot" of confidence in the U.S. Supreme Court (http://www.gallup.com/poll/content/default.aspx?ci=17011, June 2005). Suppose that you conducted your own telephone survey at that time and randomly called people and asked them to describe their level of confidence in the Supreme Court. Find the probability distribution for Y, the number of calls until the first person is found who does not express "a great deal" or "quite a lot" of confidence in the U.S. Supreme Court.

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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3.66 Suppose that Y is a random Variabi a_Σ, P() = Σ1qp = 1. b P(y) p(y-1) 3.67 Suppose that 30% of the applicants for a certain industrial job possess advanced training in com- puter programming. Applicants are interviewed sequentially and are selected at random from the pool. Find the probability that the first applicant with advanced training in programming is found on the fifth interview. 3.68 3.69 = q, for y = 2, 3, .... This ratio is less than 1, implying that the geomet- ric probabilities are monotonically decreasing as a function of y. If Y has a geometric distribution, what value of Y is the most likely (has the highest probability)? 3.71 Refer to Exercise 3.67. What is the expected number of applicants who need to be interviewed in order to find the first one with advanced training? About six months into George W. Bush's second term as president, a Gallup poll indicated that a near record (low) level of 41% of adults expressed "a great deal" or "quite a lot" of confidence in the U.S. Supreme Court (http://www.gallup.com/poll/content/default.aspx?ci=17011, June 2005). Suppose that you conducted your own telephone survey at that time and randomly called people and asked them to describe their level of confidence in the Supreme Court. Find the probability distribution for Y, the number of calls until the first person is found who does not express "a great deal" or "quite a lot" of confidence in the U.S. Supreme Court. 3.70 An oil prospector will drill a succession of holes in a given area to find a productive well. The probability that he is successful on a given trial is .2. a What is the probability that the third hole drilled is the first to yield a productive well? b If the prospector can afford to drill at most ten wells, what is the probability that he will fail to find a productive well? Let Y denote a geometric random variable with probability of success p. a Show that for a positive integer a, P(Y> a) = qª. b Show that for positive integers a and h
Transcribed Image Text:3.66 Suppose that Y is a random Variabi a_Σ, P() = Σ1qp = 1. b P(y) p(y-1) 3.67 Suppose that 30% of the applicants for a certain industrial job possess advanced training in com- puter programming. Applicants are interviewed sequentially and are selected at random from the pool. Find the probability that the first applicant with advanced training in programming is found on the fifth interview. 3.68 3.69 = q, for y = 2, 3, .... This ratio is less than 1, implying that the geomet- ric probabilities are monotonically decreasing as a function of y. If Y has a geometric distribution, what value of Y is the most likely (has the highest probability)? 3.71 Refer to Exercise 3.67. What is the expected number of applicants who need to be interviewed in order to find the first one with advanced training? About six months into George W. Bush's second term as president, a Gallup poll indicated that a near record (low) level of 41% of adults expressed "a great deal" or "quite a lot" of confidence in the U.S. Supreme Court (http://www.gallup.com/poll/content/default.aspx?ci=17011, June 2005). Suppose that you conducted your own telephone survey at that time and randomly called people and asked them to describe their level of confidence in the Supreme Court. Find the probability distribution for Y, the number of calls until the first person is found who does not express "a great deal" or "quite a lot" of confidence in the U.S. Supreme Court. 3.70 An oil prospector will drill a succession of holes in a given area to find a productive well. The probability that he is successful on a given trial is .2. a What is the probability that the third hole drilled is the first to yield a productive well? b If the prospector can afford to drill at most ten wells, what is the probability that he will fail to find a productive well? Let Y denote a geometric random variable with probability of success p. a Show that for a positive integer a, P(Y> a) = qª. b Show that for positive integers a and h
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