Service times for customers at a post office follow some right-skewed distribution with mean 2.91 minutes and standard deviation 1.74 minutes.
(a) Can you calculate the probability that the average service time for the next two customers is less than 2.64 minutes? If you can, enter the probability in the answer box. If you can't, type the word No.
(b) What is the probability that the mean service time for a random sample of 35 customers is between 2.53 and 3.04 minutes?
(c) What is the probability that the total service time for the next 41 customers exceeds 134.02 minutes? (Assume that the next 41 customers represent a simple random sample and that there is always a customer waiting in line.)
(d) What is the probability that the mean service time for a random sample of 54 customers is exactly 3.59 minutes?