We have 7 boys and 3 girls in our church choir. There is an upcoming concert in the local town hall. Unfortunately, we can only have 5 youths in this performance. This performance team of 5 has to be picked randomly from the crew of 7 boys and 3 girls. What is the probability that exactly 4 boys are picked in this team of 5?

Suppose a random variable, x, arises from a binomial experiment. If n = 23, and p= 0.22, find the following probabilities using technology.

a.) P(x = 21)

b.) P(x = 6)

c.) P(x =12)

d.) P(x<=14)

e.) P(x >=17)

f.) P(x <=9)