Question

3. Let th e random variable Ti denote the time you must wait to place your order in a fast-food restaurant, let Tz denote the time that it takes to place your order after you reach the counter, let s denote the time that it takes to receive vour food after you've placed your order, and let T enote the time that it takes to east vour food after you've received it. Assume that all of these random variables are independent, with all times are reported in minutes. Suppose that Ti has a uniform distribution on the interval (0, 2.5), T2 has a uniform distribution on the interval (0.2, 12) T3 has a uniform distribution on the interval (0.4, 2.8 and T4 has a uniform distribution on the interval (5.0,20.0) (a) Determine the expected value of the total time that elapses from entering to leaving the restaurant. (b) Interpret what this expected time means.

Answer 1

eatnuvat.Theu 0 t2.5 05 to Xe owing the vest aur ant τ 」G-05 mind ()He note that the total tim tat «lapres is enecte to tuke 605 mis. That b.Ds mins from the vestaurant. Tn senern entering to kea Cs vevighevisin the restaurant