Suppose that on y 0.1% of all computers of a certain type experience CPU ailure

Question

Suppose that on y 0.1% of all computers of a certain type experience CPU ailure during the warranty pero Consider a sample ofi 0,000 computers t Rondyur standard (3) What are the expected value and standard deviation of the number of computers in the sample that have the defect? (Round your standard deviation to two decimal places.) epected value 000computers standard deviation 3,16 computers (b) What is the (approximatel probablity that more than 11 sampled computers have the deect? (Round your answer to three dedimal places.) 303 What s he (approximate) probabilty that no sampled computers have the defect?l Round your answer to ivededimal places) 000OM67T02

Explanation / Answer

Solution:

  E(X) of a poisson distribution is = np = (10,000)(.001)=10. V(X)
=10

(c)

here, x=0

formula for calculating probability that no sample have defects is

p ( x ; ) = ((e^( )) *( ^x))/ x !

p ( 0 ; 10 ) =(( e^( 10))* ( 10^0) )/0! = e ^( 10)

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