Answer to Question #65710 in Statistics and Probability for Mehak fatima

Question

A lawyer commutes daily from his suburban home to his midtown office . on the average the trip one way takes 24 minutes, with a standard deviation of 3.8 minutes. Assume the distribution of trip times to be normally distributed.
a) what is probability that a trip will take atleast 1/2 hour?
b) If the office opens at 9:00 a.m. and he leaves his house at 8:45 a.m. daily what percentage of the time is he late for work?
c) if he leaves the house at 8:35 a.m and coffee is served at the office from 8:50 a.m until 9:00 a.m. , what is the probability that he misses coffee?
d) find the length of time above which we find the slowest 15% of the trips.
e) find the probability that 2 of the next 3 trips will take atleast 1/2 hour?