Question

Problem 6: The amount of time that a person waits in the line in Starbucks has the distribution that can be written as X~U(1.5, 9.5). a. What type of distribution is this? What is the height of f(x) for the continuous probability distribution? Sketch the graph of this distribution. [8 points) b. Find the mean and the standard deviation for X U(1.5, 9.5). (6 points) c. Find the probability P(4<<< 7)? (6 points] d. Find the probability that a person waits for more than 7 minutes given that you already know he was in line for 5 minutes. (8 points]

Answer 1

dettu-cbution this. +12) = 9.2 Xullmil 1.5, 3.5) Lintform 59 ffal th 8 9-5 b2 Elx)= f a fou da 9.5 Beda + **4*39.5 16 1.5 5.5) = 15.5 9.5 23 El2²) = د دفاع 29dx 8 f 24 کے ۱۰ = 35.5833 Ela cew] 2 11 - v(a) = 15.3333 of a) = W1) 어개드 | 9. 3093 CI Plu<XCHE d? g ។ 22 23 3 8 10.375 5 CS Scanned with CamScanner

9.5 PCX>7 X 2S) = वर d. वर S [27 3.5 73 9. oss56 CS Scanned with CamScanner

9.5 PCX>7 X 2S) = वर d. वर S [27 3.5 73 9. oss56 CS Scanned with CamScanner