Question

(Exercise 6.43 (Algorithmic)) The time in minutes for which a student uses a center of a major with a mean of 38 minutes. Assume a student arrives at the terminal just as another student is beginning to work on the terminal. a. What is the probability that the wait for the second student will be 15 minutes or less (to 4 decimals)? uter terminal at the computer center of a major university follows an exponential probablity distribution b. What is the probability that the wait for the second student will be between 15 and 45 minutes (to 4 decimals)? c. What is the probability that the second student will have to wait an hour or more (to 4 decimals)?

Answer 1

6.43)

a) P(X<15)=1-e^-x/$\beta$ =1-e^-15/38 =0.3261

b)P(15<X<45)=e^-15/38-e^-45/38 =0.3679

c)P(X>60)=e^-60/38 =0.2062

4.45)

a)

P(adult is 65 or older)=1-0.878=0.122

b)P(adult is 65 or older |takes drug regularly) =0.122*0.85/(0.122*0.85+0.878*0.47)=0.2008