It is known that 10 of the calculators shipped from a partic

It is known that 10% of the calculators shipped from a particular factory are defective.
Assuming a binomial distribution, determine the probability that none in a random sample of four calculators is defective?

0.3439

0.2916

0.0010

0.6561

Solution

Given X~Binomial(n=4, p=0.1)

P(X=x)=4Cx*(0.1^x)*(0.9^(4-x))

So the probability is

P(X=0) =4C0*(0.1^0)*(0.9^(4-0)) =0.6561

Answer: 0.6561