A bus comes by every 7 minutes. The times from when a person arives at the busstop until the bus arrives follows a Uniform distribution from 0 to 7 minutes. A person arrives at the bus stop at a randomly selected time. Round to 4 decimal places where possible. a. The mean of this distribution is b. The standard deviation is c. The probability that the person will wait more than 2 minutes is d. Suppose that the person has already been waiting for 1.3 minutes. Find the probability that the person's total waiting time will be between 2.6 and 4.2 minutes e. 5% of all customers wait at least how long for the train? minutes.

Trucks in a delivery fleet travel a mean of 100 miles per day with a standard deviation of 38 miles per day. The mileage per day is distributed normally. Find the probability that a truck drives at least 141 miles in a day. Round your answer to four decimal places.

Private nonprofit four-year colleges charge, on average, $27,088 per year in tuition and fees. The standard deviation is $7,205. Assume the distribution is normal. Let X be the cost for a randomly selected college. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. Find the probability that a randomly selected Private nonprofit four-year college will cost less than 26,156 per year. c. Find the 60th percentile for this distribution. S (Round to the nearest dollar.)

pr The lengths of pregnancies are normally distributed with a mean of 269 days and a standard deviation of 15 days. a. Find the probability of a pregnancy lasting 308 days or longer. b. If the length of pregnancy is in the lowest 4%, then the baby is premature. Find the length that separates premature babies from those who are not premature. /2 pr Click to view page 1 of the table. Click to view page 2 of the table. /2 a. The probability that a pregnancy will last 308 days or longer is (Round to four decimal places as needed.) pr b. Babies who are born on or before 12 days are considered premature. (Round to the nearest integer as needed.) /2 12 uc /2 12 or /2 or (2 Enter your answer in each of the answer boxes.