The sunshine list mid-level bureaucrat depicted has a commute from a suburban home to a midtown office, normally distributed one way trip time having a mean of 24 minutes and standard deviation of 3.5 minutes. a. What is the probability that a trip takes at least 30 minutes? What is the probability of a trip taking at least 20 minutes (on a better day)? What is the probability that it is 20 min or less? b. If the office opens at 9am, and the departure time is 8:45 am, what percentage of the days is the bureaucrat late for work? What if the departure time is 8:40 am?

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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c. There is a gourmet coffee service provided every day at the office between 8:55 am and
9:05 am. With 8:45 departure time, what is the probability that the bureaucrat misses
coffee?
d. What is the commute time for the worst (longer trips) 10% ? What is the commute time for
the best (shortest trip) 10%?
e. Showing all steps and using the empirical rule, complete the following table:
Dispersion
±1 std dev'n
±2 std dev'n
±3 std dev'n
Commute time (min)
Transcribed Image Text:c. There is a gourmet coffee service provided every day at the office between 8:55 am and 9:05 am. With 8:45 departure time, what is the probability that the bureaucrat misses coffee? d. What is the commute time for the worst (longer trips) 10% ? What is the commute time for the best (shortest trip) 10%? e. Showing all steps and using the empirical rule, complete the following table: Dispersion ±1 std dev'n ±2 std dev'n ±3 std dev'n Commute time (min)
The sunshine list mid-level bureaucrat depicted has a
commute from a suburban home to a midtown office,
normally distributed one way trip time having a mean of 24
minutes and standard deviation of 3.5 minutes.
a. What is the probability that a trip takes at least 30 minutes? What is the probability of a trip
taking at least 20 minutes (on a better day)? What is the probability that it is 20 min or less?
b. If the office opens at 9am, and the departure time is 8:45 am, what percentage of the days
is the bureaucrat late for work? What if the departure time is 8:40 am?
Transcribed Image Text:The sunshine list mid-level bureaucrat depicted has a commute from a suburban home to a midtown office, normally distributed one way trip time having a mean of 24 minutes and standard deviation of 3.5 minutes. a. What is the probability that a trip takes at least 30 minutes? What is the probability of a trip taking at least 20 minutes (on a better day)? What is the probability that it is 20 min or less? b. If the office opens at 9am, and the departure time is 8:45 am, what percentage of the days is the bureaucrat late for work? What if the departure time is 8:40 am?
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