I have three errands to take care of in the Administration Building. LetÂ Â Xi = the time that...

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I have three errands to take care of in the AdministrationBuilding. LetÂ Â X_i = the timethat it takes for the ith errand
(i = 1, 2, 3),and let X₄ = thetotal time in minutes that I spend walking to and from the buildingand between each errand. Suppose the
X_i's are independent, andnormally distributed, with the following means and standarddeviations:
Î¼₁ = 16,
Ïƒ₁ = 4,
Î¼₂ = 6,
Ïƒ₂ = 1,
Î¼₃ = 8,
Ïƒ₃ = 2,
Î¼₄ = 14,
Ïƒ₄ = 3.
I plan to leave my office at precisely 10:00 A.M. and wish topost a note on my door that reads, \"I will return by tA.M.\" How long should I estimate my trip will take if I want theprobability of the trip taking longer than my estimate to be 0.01?(Round your answer to two decimal places.)

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3.6 Ratings (297 Votes)

GivenXi the time that it takes for the ith errand i123X4 the total time in minutes that I spend walking to and fromthe building and between each errandLet See Answer

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