Question

The time (in minutes) between telephone calls at an insurance claims office has the exponential probability distribution: f(x) = 0.20 -0.202 for x 20 a. What is the mean time between telephone calls? Mean time (u) = minutes b. What is the probability of 36 seconds or less between telephone calls? (Note: 36 seconds = 0.60 minutes) If required, round your answer to four decimal places. P(x S 0.60) - c. What is the probability of 3 minute or less between telephone calls? If required, round your answer to four decimal places. P(XS 3) = d. What is the probability of 5 or more minutes without a telephone call? If required, round your answer to four decimal places. P(x 25) =

Answer 1

Sol. As given f(0) = 0.20 e -0.90 % u fost *120 1. (a) (b) mean time (u) = Racibro cal of constant of f(01) W ome = minutes. It i exponential distribution and formula probability exponential distribution are P(xsa) = l-e alu Plac«<b) = ēlue. e-blade civis for - 0.6 PCX $ 35) ou PCX50.6) = 1-e (0.1131) (0) PCX 23)= ieš 10.4512] (d) P(x?s) - P(55XL) - cs Scared with Scanned with CamScanner = 0.3679] 0.3679