If a light bulb bought from a particular store has a 15 prob

If a light bulb bought from a particular store has a 1.5% probability of being defective when it leaves the store, calculate the probabilities below.

1.       What is the probability that ten of them purchased at the same time contain exactly one defective blub?

2.       What is the probability that ten of them purchased at the same time contain at least one defective bulb?

Solution

Given X follows Binomial distribution with n=10 and p =0.015

P(X=x)=10Cx*(0.015^x)*((1-0.015)^(10-x)) for x=0,1,2,...,10

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(1) P(X=1) =10C1*(0.015^1)*((1-0.015)^(10-1)) = 0.1309234

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(2) P(X>=1)=1-P(X=0) =0.1402696

If a light bulb bought from a particular store has a 1.5% probability of being defective when it leaves the store, calculate the probabilities below. 1. What is

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