Jeannie is an experienced business traveler, often traveling back as well as forth from San Francisco to the East Coast several times per month. To catch her flights from San Francisco she leaves her office one hour before her flight leaves. Her travel time from her office to the departing gate at the San Francisco airport, including the time to park and go through security screening, is normally distributed with a mean of 46 minutes and a standard deviation of 5 minutes.
Jeannie is known to be somewhat lax about getting to the airport in time to catch her flight. Suppose that she decides to leave her office so that she has a 96% chance of catching her flight; consequently there is a 4% chance that she will miss her flight. How many minutes before the flight leaves should she leave her office? Round your final answer to the nearest minute, then input that whole number below. DO NOT include units.