Find the indicated binomial probabilities. Round to the nearest 3 decimal places.

Question

In a local college, 20% of the math majors are women. Ten math majors are chosen at random.

1) What is the probability that exactly 2 are women?

2) What is the probability that 2 or less women are selected?

3) What is the probability that no women are selected?

4) Find the mean u

Answer 1

Here is the binomial probability function:
P(x) = (nCx)(p^x)[q^(n-x)]
n = 10
p = .20
q = .80 (q = 1 - p)

For 1), find P(2).
For 2), find P(0) + P(1) + P(2).
For 3), find P(0).
For 4), mean = np

I hope this will help get you started.