I have three errands to take care of in the AdministrationBuilding. Let  Xi = 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
Xi's are independent, andnormally distributed, with the following means and standarddeviations:
μ1 = 16,
σ1 = 4,
μ2 = 6,
σ2 = 1,
μ3 = 8,
σ3 = 2,
μ4 = 14,
σ4 = 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.)
