Among employed women, 20% have never been married. Select 9 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 =
p =
(b) What is the probability that exactly 2 of the 9 women in your sample have never been married?
(c) What is the probability that 2 or fewer women have never been married?
Probablility help? Please explain :o)?
a) n = 9, p = .20
b) P(X=k) = C(n,k) p^k (1-p)^(n-k), where n = number of trials, p = probability of success, k = number of successes, and C(n,k) is the combination of n objects taken k at a time (order does not matter).
C(n,k) = n! / [k!(n-k)!]
P(X=2) = C(9,2) .20^2 .80^7
= 36(.04)(.2097152)
= 0.301989888
c) Two or fewer means 2 or 1 or 0.
Find P(X=2) + P(X=1) + P(X=0).
P(X=2) was found in part b, so all you have to do is find P(X=1) and P(X=0), then add all three together.
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