Question

1. A customer service representative must spend different amounts of time with each customer to resolve various concerns. The amount of time spent with each customer can be modeled by the following distribution: X ~ Exp(0.2)

Find median. Round to the nearest

a. 3.5

b. 7

c. 5

d. 2.5

2. Suppose you arrive into a building and are about to take an elevator to the your floor. Once you call the elevator, it will take between 2 and 40 seconds to arrive to you. We will assume that the elevator arrives uniformly between 2 and 40 seconds after you press the button. Find μ.

a. 19

b. 21

c. 11

c. 22

Answer 1

Solution x the amount of time spent with each customer can be model as XN xw exp(0.2) then pdf of X f(1) = 0.2 0.2% 220 median m can be obtained as {**$(29dx = 1 => į Mo. 2 e 0.22 dx= o'z [ conto 0122 IM e conto = I 2 2 -0.2my [-ê 02044 e°)= + 1 = 1 te 0.2M = 2 2 - 1 = + - -0.29 e 2 taking log on both side -0.2M = log (0.50) 70.2M = 70,693 M=31465 'M=315 AL