The amount of time that a drive-through bank teller spends on a customer is a random variable with a mean μ = 3.8 minutes and a standard deviation o=1.8 minutes. If a random sample of 81 customers is observed, find the probability that their mean time at the teller's window is (a) at most 3.4 minutes; (b) more than 4.1 minutes; (c) at least 3.8 minutes but less than 4.0 minutes. 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) The probability that the mean time is at most 3.4 minutes is 0.0228 (Round to four decimal places as needed.) (b) The probability that the mean time is more than 4.1 minutes is 0.0668 (Round to four decimal places as needed.) (c) The probability that the mean time is between 3.8 minutes and 4.0 minutes is 0.3413 (Round to four decimal places as needed.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
The amount of time that a drive-through bank teller spends on a customer is a random variable with a mean u = 3.8 minutes and a standard deviation o=1.8 minutes. If a random sample of 81 customers is
observed, find the probability that their mean time at the teller's window is
(a) at most 3.4 minutes,
(b) more than 4.1 minutes:
(c) at least 3.8 minutes but less than 4.0 minutes.
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) The probability that the mean time is at most 3.4 minutes is 0.0228
(Round to four decimal places as needed.)
(b) The probability that the mean time is more than 4.1 minutes is 0.0668
(Round to four decimal places as needed.)
(c) The probability that the mean time is between 3.8 minutes and 4.0 minutes is 0.3413
(Round to four decimal places as needed.)
Transcribed Image Text:The amount of time that a drive-through bank teller spends on a customer is a random variable with a mean u = 3.8 minutes and a standard deviation o=1.8 minutes. If a random sample of 81 customers is observed, find the probability that their mean time at the teller's window is (a) at most 3.4 minutes, (b) more than 4.1 minutes: (c) at least 3.8 minutes but less than 4.0 minutes. 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) The probability that the mean time is at most 3.4 minutes is 0.0228 (Round to four decimal places as needed.) (b) The probability that the mean time is more than 4.1 minutes is 0.0668 (Round to four decimal places as needed.) (c) The probability that the mean time is between 3.8 minutes and 4.0 minutes is 0.3413 (Round to four decimal places as needed.)
Expert Solution
steps

Step by step

Solved in 5 steps with 4 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman