Example 2.7 The PMF of the number of components K of a system that fails is defined by 1()(0.2)*(0.8) 4-k k=0,1.....4 PK (K) = {()(0.2)*(0.8)4-k (k)= otherwise (a) What is the CDF of K? (b) What is the probability that fewer than two components of the system fail?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
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Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 10ECP: In Example 10, researchers selected five people at random from the population. What is the...
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Example 2.7 The PMF of the number of components K of a system that fails is
defined by
PK (k)=
{((0.2)*(0.8)4k k=0,1...4
otherwise
(a) What is the CDF of K?
(b) What is the probability that fewer than two components of the system fail?
Transcribed Image Text:Example 2.7 The PMF of the number of components K of a system that fails is defined by PK (k)= {((0.2)*(0.8)4k k=0,1...4 otherwise (a) What is the CDF of K? (b) What is the probability that fewer than two components of the system fail?
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