Please solve the screenshot! 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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Description: Please solve the screenshot! 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

Let Y= Total time to run errands and to return at office So, we can write: Y=∑xii=14 As xi is normally distributed and Y is dependent on it then Y is also normally distributed. Now for mean of Y: μY=∑xii=14μY=μ1+μ2+μ3+μ4μY=13+6+9+13μY=41Variance of Y: VY=∑i=14VxiVY=σ12+σ22+σ32+σ42VY=42+12+22+42VY=16+1+4+16VY=37 Standard deviation of Y: σY=VYσY=37σY=6.08 Formula for the percentile of a normal distribution to the standard normal distribution: Y=μY+σy·Z As the probability for arriving her is 0.01 then the Z value is counted on 99%. Z value for 99% is: 2.326 Putting all values in above formula: Y=μY+σy·ZY=41+6.082.326Y=41+14.142Y=55.14 minutes So, the total time she took to return her office: T=10 AM+ 55.14 minutesT=10:55:14 AM Hence the conclusion is that the time she takes to attend all errands and return at office is 10:55:14 AM.

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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)

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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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Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.

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Please solve the screenshot!

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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