Homework Help is Here – Start Your Trial Now!
Math
Statistics
Five students are waiting to talk to the TA when office hours begin. The TA talks to the students one at a time, starting with the first student and ending with the fifth student, with no breaks between students. Suppose that the time taken by the TA to talk to a student has a normal distribution with a mean of 8 minutes and a standard deviation of 2 minutes, and suppose that the times taken by the students are independent of each other. (a) What is the probability that the total time taken by the TA to talk to all five students is longer than 45 minutes? (b) Suppose that the time that elapses between when the TA starts talking to the first student, and when the TA starts to have a headache, has a normal distribution with a mean of 28 minutes and a standard deviation of 5 minutes, which is independent of the times taken to talk to the students. What is the probability that the TA’s headache starts at a time after the TA has finished talking to the third student?

Five students are waiting to talk to the TA when office hours begin. The TA talks to the students one at a time, starting with the first student and ending with the fifth student, with no breaks between students. Suppose that the time taken by the TA to talk to a student has a normal distribution with a mean of 8 minutes and a standard deviation of 2 minutes, and suppose that the times taken by the students are independent of each other. (a) What is the probability that the total time taken by the TA to talk to all five students is longer than 45 minutes? (b) Suppose that the time that elapses between when the TA starts talking to the first student, and when the TA starts to have a headache, has a normal distribution with a mean of 28 minutes and a standard deviation of 5 minutes, which is independent of the times taken to talk to the students. What is the probability that the TA’s headache starts at a time after the TA has finished talking to the third student?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
Five students are waiting to talk to the TA when office hours begin. The TA talks to the students one at a time, starting with the first student and ending with the fifth student, with no breaks between students. Suppose that the time taken by the TA to talk to a student has a normal distribution with a mean of 8 minutes and a standard deviation of 2 minutes, and suppose that the times taken by the students are independent of each other. (a) What is the probability that the total time taken by the TA to talk to all five students is longer than 45 minutes? (b) Suppose that the time that elapses between when the TA starts talking to the first student, and when the TA starts to have a headache, has a normal distribution with a mean of 28 minutes and a standard deviation of 5 minutes, which is independent of the times taken to talk to the students. What is the probability that the TA’s headache starts at a time after the TA has finished talking to the third student?
Transcribed Image Text:Five students are waiting to talk to the TA when office hours begin. The TA talks to the students one at a time, starting with the first student and ending with the fifth student, with no breaks between students. Suppose that the time taken by the TA to talk to a student has a normal distribution with a mean of 8 minutes and a standard deviation of 2 minutes, and suppose that the times taken by the students are independent of each other. (a) What is the probability that the total time taken by the TA to talk to all five students is longer than 45 minutes? (b) Suppose that the time that elapses between when the TA starts talking to the first student, and when the TA starts to have a headache, has a normal distribution with a mean of 28 minutes and a standard deviation of 5 minutes, which is independent of the times taken to talk to the students. What is the probability that the TA’s headache starts at a time after the TA has finished talking to the third student?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 5 images

SEE SOLUTIONCheck out a sample Q&A here
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
SEE MORE TEXTBOOKS