Question

Among employed women, 35% have never been married. Select 11 employed women at random. (a) The number in your sample who have never been married has a binomial distribution. What are n and p? n = 11 p = 0.35 (b) What is the probability that exactly 3 of the 11 women in your sample have never been married? (c) What is the probability that 2 or fewer women have never been married?

Answer 1

Explanation:

Given that among employed women, 35% have never been married. Select 11 employed women at random.

a) probability for success in each trial p = 0.35 and no of trials = n =11

b) the probability that exactly 3 of the 11 women in your sample have never been married=

P(X=3) =
`11C3 (0.35)^3 (0.65)^8\\= 0.001367`

c) the probability that 2 or fewer women have never been married

=
`P(X\leq 2)\\=0.2001`