Ihave three errands to take care of in the administration building. let xi = the time that it takes for the ith errand (i = 1, 2, 3), and let x4 = the total time in minutes that i spend walking to and from the building and between each errand. suppose the xi's are independent, and normally distributed, with the following means and standard deviations: μ1 = 13, σ1 = 4, μ2 = 5, σ2 = 1, μ3 = 8, σ3 = 2, μ4 = 14, σ4 = 5. 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.)