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. (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 (Round to four decimal places as needed.) hour.
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. (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 (Round to four decimal places as needed.) hour.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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