Q.

If 3% of electric bulbs manufacturing by a company are defective, the probability that a sample of 100 bulbs has no defective ones is 
 

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a

e-3

b

3-e-3

c

1-e-3

d

0

answer is B.

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Detailed Solution

Let the random variable X is the number of defective bulbs in a sample of 100 bulbs.

Given λ=3, r=0

P(x=r)=e-λ.λrr!

Now the required probability 

P(X=0)=e-3.300!               =e-3

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If 3% of electric bulbs manufacturing by a company are defective, the probability that a sample of 100 bulbs has no defective ones is