Question

There are $10\%$ defectives in the items produced by a factory. A random sample of $6$ items is chosen. Find the probability that this sample contains,
(a) Exactly $2$ defectives
(b) At least $3$ defectives.
(c) Not more than $2$ defective.

Answer 1

The probability will be 0 in case 'a' and 'b' as no. of detective items is 0.6 which is anyway lesser than 2 or 3.

In case 'c' the probability will be 1 as the defective items can never be more than 2.