A lawyer commutes daily from his suburban home to his midtown office. The average time for a one-way trip is 23 minutes, with a standard deviation of 3.7 minutes. Assume the distribution of trip times to be normally distributed. Complete parts (a) through (e) below. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. 1 (a) What is the probability that a trip will take at least hour? (Round to four decimal places as needed.) (b) If the office opens at 9:00 A.M. and the lawyer leaves his house at 8:45 A.M. daily, what percentage of the time is he late for work? %☐ (Round to two decimal places as needed.) (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? (Round to four decimal places as needed.) (d) Find the length of time above which we find the slowest 15% of trips. minutes (Round to three decimal places as needed.) (e) Find the probability that 2 of the next 3 trips will take at least hour. ☐ (Round to four decimal places as needed.)
A lawyer commutes daily from his suburban home to his midtown office. The average time for a one-way trip is 23 minutes, with a standard deviation of 3.7 minutes. Assume the distribution of trip times to be normally distributed. Complete parts (a) through (e) below. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. 1 (a) What is the probability that a trip will take at least hour? (Round to four decimal places as needed.) (b) If the office opens at 9:00 A.M. and the lawyer leaves his house at 8:45 A.M. daily, what percentage of the time is he late for work? %☐ (Round to two decimal places as needed.) (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? (Round to four decimal places as needed.) (d) Find the length of time above which we find the slowest 15% of trips. minutes (Round to three decimal places as needed.) (e) Find the probability that 2 of the next 3 trips will take at least hour. ☐ (Round to four decimal places as needed.)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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VIEWStep 2: Calculate the probability that trip will take at least 1/2 hours.
VIEWStep 3: Calculate the percentage of the time the lawyer is late for work.
VIEWStep 4: Calculate the probability that the lawyer miss the coffee.
VIEWStep 5: Find the length of time.
VIEWStep 6: Find probability that 2 of the next 3 trips will take 1/2 hours
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