If a procedure meets all the conditions of a binomial distribution except that the number of trials is not fixed, then the geometric distribution can be used. The probability of getting the first success on the xth trial is giveh by x -1 P(x) = p(1 – p)* ¯ - where p is the probability of success on any one trial. Assume that the probability of a defective computer component is 0.25. Find the probability that the first defect is found in the fourth component tested. (Round answer to four decimal places.) P(4) : %3D

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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If a procedure meets all the conditions of a binomial distribution except that the number of trials is not fixed, then the geometric distribution can be used. The probability of getting the first success on the xth trial is given by p(x)= p(1-p)^x-1 where p is the probability of success on any one trial. Assume that the probability of a defective computer component is 0.25. Find the probability that the first defect is found in the fourth component tested. Round answer to four decimal places.
If a procedure meets all the conditions of a binomial distribution except that the number of trials is not
fixed, then the geometric distribution can be used. The probability of getting the first success on the xth
trial is giveh by
P(z) = p(1 – p)“ -1
where p is the probability of success on any one trial.
Assume that the probability of a defective computer component is 0.25. Find the probability that the first
defect is found in the fourth component tested.
(Round answer to four decimal places.)
P(4) =
%3D
Transcribed Image Text:If a procedure meets all the conditions of a binomial distribution except that the number of trials is not fixed, then the geometric distribution can be used. The probability of getting the first success on the xth trial is giveh by P(z) = p(1 – p)“ -1 where p is the probability of success on any one trial. Assume that the probability of a defective computer component is 0.25. Find the probability that the first defect is found in the fourth component tested. (Round answer to four decimal places.) P(4) = %3D
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