Question

The probability that a certain brand of watch is defective is 6%. If 2 watches of this brand are randomly selected, then what is the probability that: None will be defective

Answer 1

Answer: The probability that: None will be defective = 0.8836

Explanation:

Let x be the number of defectives watch.

As per given: p= 6%= 0.06 (probability of defective)

Sample size : n= 2

Binomial probability distribution formula :
`P(X=x)=^nC_xp^x(1-p)^(n-x)`

P(No defective)=P(X=0)

`^(2)C_0(0.06)^0(1-0.06)^(2) =(1)(0.94)^2=0.8836`

Hence, The probability that: None will be defective = 0.8836