ayşe travels often and lately has become lax about giving herself enough time to get to the airport. She leaves home 45 minutes before the last call for her flight will occur. Her travel time from her front door to the airport parking lot is “normally distributed” with a mean of 25 minutes and a standard deviation of 3 minutes. She must then take a shuttle bus to the terminal from the parking lot and go through security screening. The mean time for doing this is 15 minutes, and the standard deviation is 2 minutes; this time also is “normally distributed.” The driving time and the airport time are independent of each other. What is the probability that Ayşe will miss her flight because her total time for getting to the plane is more than 45 minutes?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 7PPS
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ayşe travels often and lately has become lax about giving herself enough time to get to the airport. She leaves home 45 minutes before the last call for her flight will occur. Her travel time from her front door to the airport parking lot is “normally distributed with a mean of 25 minutes and a standard deviation of 3 minutes. She must then take a shuttle bus to the terminal from the parking lot and go through security screening. The mean time for doing this is 15 minutes, and the standard deviation is 2 minutes; this time also is “normally distributed.” The driving time and the airport time are independent of each other. What is the probability that Ayşe will miss her flight because her total time for getting to the plane is more than 45 minutes?

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