Suppose that only 0.1% of all computers of a certain type experience CPU failure

Question

Suppose that only 0.1% of all computers of a certain type experience CPU failure during the warranty period. Consider a sample of 7 coo computer deviation to two decimal places.) What are the expected value and standard deviation of the number of computers in the sample that have the defect? (Round your standard value computers standard deviation to two decimal places) what is the (approximate) probability that more than 12 sampled computers have the defect () What is the (approximate) probability that no sampled computers have the defect? (Round your answer to five decimal places.

Explanation / Answer

a) mean =np=7000*0.001=7

std deviation =(np(1-p))1/2=2.64

b) P(X>12)=1-P(X<=12) =1-P(Z<(12.5-7)/2.64)=1-P(Z<2.0798)=1-0.9812=0.019

c) for no defect P(X=0)=P(Z<(0.5-7)/2.64)=P(Z<(-2.458)=0.00699

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