Question

The following relates to Problems 11 and 12. In our office, the average time between consecutive phone calls is 1/3 hour. Problem 11: Let T be the time between now and the next call (measured in hours). How is T distributed? [1 Poisson (3) 2 Geometric (1/3); 3] Gamma (4,3); [4] Exponential (4); 5] Expo- nential (1/3) Problem 12: How is the time between now and the 4th call distributed? 1 Poisson (3) 2] Gamma (4,3); 3] Gamma (1,1/3); [4] Exponential (3); [5] Expo- nential (1/3) Let (X, Y, Z) be the number of the STT 441 finals that will end up being (too easy, just right, too difficult) among the next 4 finals. It is known that P (exam too easy)-25, P (exam just right) 45 and P (exam too difficult) .3 Problem 13: Find P(X = 1, Y = 2, Z = 1) 116; 2 .18; [3 25; [4] 32; 5) 28

Answer 1

Answers:

Problem 11:

Option no. 4 - Exponential(3) Distribution

Problem 12:

Option no.4 - Exponential(3) Distribution

Problem 13:

Option no. 3 - 0.25