2 and 3 only with solution

l] 1. The average time for a mail carrier to cover a route is 380 minutes, and the standard deviation is 16 minutes. If one of these trips is selected at random, nd the probability that the carrier will have the following route time. Assume the variable is normally distributed. [3 . 2. The average waiting time to be seated for dinner at a popular restaurant is 23.5 minutes, with a standard deviation of 3.6 minutes. Assume the variable is normally distributed. When a patron arrives at the restaurant for dinner, nd the probability that the patron will have to wait the following time. I] a. Between IS and 22 minutes b. Less than 18 minutes or more than 25 minutes o. Is it likely that a person will be seated in less than 15 minutes? i 1 3. To help students improve their reading, a school district decides to implement a reading program. It is to be administered to the bottom 5% of the students in the district, based on the scores on a reading achievement exam. If the average score for the students in the district is t22.6, nd the cutoff score that will make a student eligible for the program. The standard deviation is 18. Assume the variable is normally distributed