A Chief Executive Officer (CEO) commutes daily from Taguig City house to his Makati City office. The average time for a one-way trip is 24 minutes, with a standard deviation of 3.8 minutes. Assume the distribution of trip times to be normally distributed. a) What is the probability that a trip will take at least 1/2 hour? b) If the office opens at 8:00 A.M. and he leaves his house at 7:45 A.M. daily, what percentage of the time is he late for work? c) If he leaves the house at 7:35 A.M. and coffee is served at the office from 7:50 A.M. until 8:00 A.M., what is the probability that he misses coffee? d) Find the probability that 2 of the next 3 trips will take at least 1/2 hour.
A Chief Executive Officer (CEO) commutes daily from Taguig City house to his Makati City office. The average time for a one-way trip is 24 minutes, with a standard deviation of 3.8 minutes. Assume the distribution of trip times to be normally distributed. a) What is the probability that a trip will take at least 1/2 hour? b) If the office opens at 8:00 A.M. and he leaves his house at 7:45 A.M. daily, what percentage of the time is he late for work? c) If he leaves the house at 7:35 A.M. and coffee is served at the office from 7:50 A.M. until 8:00 A.M., what is the probability that he misses coffee? d) Find the probability that 2 of the next 3 trips will take at least 1/2 hour.
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Transcribed Image Text:A Chief Executive Officer (CEO) commutes daily from Taguig City house to his Makati City
office. The average time for a one-way trip is 24 minutes, with a standard deviation of 3.8 minutes.
Assume the distribution of trip times to be normally distributed.
a) What is the probability that a trip will take at least 1/2 hour?
b) If the office opens at 8:00 A.M. and he leaves his house at 7:45 A.M. daily, what percentage
of the time is he late for work?
c) If he leaves the house at 7:35 A.M. and coffee is served at the office from 7:50 A.M. until 8:00
A.M., what is the probability that he misses coffee?
d) Find the probability that 2 of the next 3 trips will take at least 1/2 hour.
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