The number of customers in line at a supermarket express checkout counter is a random variable with the following probability distribution.

a. Find P(2).

b. Find P(No more than 1).

c. Find the probability that no one is in line.

d. Find the probability that at least three people are in line.

e. Compute the mean μX.

f. Compute the standard deviation σX.
g. If each customer takes 3 minutes to check out, what is the probability that it will take more than 6 minutes for all the customers currently in line to check out?

Transcribed Image Text:

x 0 1 2 3 4 5 P(x) 0.10 0.25 0.30 0.20 0.10 0.05