Question

Problem 8 The time (in minutes) until the next bus departs a major bus depot follows a uniform distribution from 30 to 48 minutes. Let X denote the time until the next bus departs. a. The distribution is Uniform and is continuous b. The mean of the distribution is u = 39 c. The standard deviation of the distribution is 0 = d. The probability that the time until the next bus departs is between 30 and 40 minutes is P(30 < X < 40) = e. Ninety percent of the time, the time to the next departure is less than how many minutes? That is, P(X < a) = 0.9 for a =

Answer 1

30cc 248 Xu u(30,48) oxu uca, b), flow: / b-a flow= else as the distribution is uniform and is continuous. b). u= atb { 3ot 48 = 1397 c) Cb-al2 (48-30) = 127 = 5.1962 d) PC302 XC60) = Sofernde s dx+ Soody 48 48 -3o f 18 1 e) Pcx sal = 0.9 Se fx dx = og so Tedx=0.9 a-30 18 = o 9 a= 46.2 CS Scanned with CamScanner