I have three errands to take care of in the Administration Building. Let x, = the time that it takes for the ith errand (i = 1, 2, 3), and let X = the total time in minutes that I spend walking to and from the building and between each errand. Suppose the x,'s are independent, and normally distributed, with the following means and standard deviations: u, = 13, o, = 4, 42 = 6, o2 = 1, lg = 9, og = 2, H4 = 13, o4 = 4. I plan to leave my office tA.M." How long should I estimate my trip will take if I want the probability of the trip taking longer than my estimate to be 0.01? (Round your answer to two decimal places.) precisely 10:00 A.M. and wish to post a note on my door that reads, "I will return by A USE SALT min
I have three errands to take care of in the Administration Building. Let x, = the time that it takes for the ith errand (i = 1, 2, 3), and let X = the total time in minutes that I spend walking to and from the building and between each errand. Suppose the x,'s are independent, and normally distributed, with the following means and standard deviations: u, = 13, o, = 4, 42 = 6, o2 = 1, lg = 9, og = 2, H4 = 13, o4 = 4. I plan to leave my office tA.M." How long should I estimate my trip will take if I want the probability of the trip taking longer than my estimate to be 0.01? (Round your answer to two decimal places.) precisely 10:00 A.M. and wish to post a note on my door that reads, "I will return by A USE SALT min
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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![I have three errands to take care of in the Administration Building. Let \( X_i \) = the time that it takes for the \( i \)th errand (\( i = 1, 2, 3 \)), and let \( X_4 \) = the total time in minutes that I spend walking to and from the building and between each errand. Suppose the \( X_i \)'s are independent, and normally distributed, with the following means and standard deviations:
\[
\mu_1 = 13, \sigma_1 = 4, \mu_2 = 6, \sigma_2 = 1, \mu_3 = 9, \sigma_3 = 2, \mu_4 = 13, \sigma_4 = 4.
\]
I plan to leave my office at precisely 10:00 A.M. and wish to post a note on my door that reads, “I will return by t A.M.” How long should I estimate my trip will take if I want the probability of the trip taking longer than my estimate to be 0.01? (Round your answer to two decimal places.)
[Input Box] ___ min](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F56945fae-aeca-4f60-8c3d-a266c334f238%2F6734938c-87f8-4ed6-9145-dc1c5ad0a5c8%2Fv7viyvl_processed.png&w=3840&q=75)
Transcribed Image Text:I have three errands to take care of in the Administration Building. Let \( X_i \) = the time that it takes for the \( i \)th errand (\( i = 1, 2, 3 \)), and let \( X_4 \) = the total time in minutes that I spend walking to and from the building and between each errand. Suppose the \( X_i \)'s are independent, and normally distributed, with the following means and standard deviations:
\[
\mu_1 = 13, \sigma_1 = 4, \mu_2 = 6, \sigma_2 = 1, \mu_3 = 9, \sigma_3 = 2, \mu_4 = 13, \sigma_4 = 4.
\]
I plan to leave my office at precisely 10:00 A.M. and wish to post a note on my door that reads, “I will return by t A.M.” How long should I estimate my trip will take if I want the probability of the trip taking longer than my estimate to be 0.01? (Round your answer to two decimal places.)
[Input Box] ___ min
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