(Answer) Suppose that it takes Dr. X either 30, 35, 40, 50, or - #80020
Suppose that it takes Dr. X either 30, 35, 40, 50, or 60 minutes to drive to work (actual times would of course follow a continuous distribution but let’s treat them as if they’re discrete). Driving times follow the following probability distribution, where X represents the time. The driving time on any day is independent of the driving time on any other day.
|
X (minutes) |
30 |
35 |
40 |
50 |
60 |
|
P(X) |
0.10 |
0.30 |
0.25 |
0.25 |
0.10 |
(a) What is the expected driving time?
(b) Next week Dr. McWilliams is only going to drive to work twice. Let Y = his total driving time for the week. Find the probability distribution of Y. Note: The hint given in Problem 3 above also applies to this problem.
(c) What is the expected value of Y?
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Deliverable: Word Document
and pdf
