Question

If the fraction of defective coveers produced on the USB Mouse Factory production line is known to be 8%: (a) What is the probability that a sample of 10 covers will contain exactly 2 defectives?

Answer 1

The probability that a sample of 10 covers will contain exactly 2 defectives is 0.0328

Explanation:

P(X) = nCx
`p^(x)`
`q^(n-x)`

Since

n = 10

p = 0.08

q = 1 - p = 0.92

a) P(X = 2) = 10 x 0.08² x
`0.92^(8)`

= 0.0328