If 40% of the community goes to the car wash, find thes probabilitites for a sample of 13 people:

Exactly 7 people go to the car wash.

At most 8 people go to the car wash

At least 6 people go to the car wash.

Less than 5 people go to the car wash.

Can you rephrase the question please.

Yes, your question makes no sense, you're saying that exactly 0.40 percent go to the carwash, so out of 13 people, 5.2 will go to the car wash.

So exactly 7 has a probability of 0
8 or less has a probability of 1
6 or more has a probability of 0
less than 5 has a probability of 0.

Do you see how the question doesn't make sense?

This is classic binomial probability:

a. C(13,7)(0.40)^{7}(0.60)^{6}

b. \sum_{k=0}^{8}C(13,k)(0.40)^{k}(0.60)^{13-k}

c. \sum_{k=6}^{13}C(13,k)(0.40)^{k}(0.60)^{13-k}

d. \sum_{0}^{4}C(13,k)(0.40)^{k}(0.60)^{13-k}