Statistics Solutions

(Step-by-Step) 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

Question: 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
  1. What is the expected driving time?
  2. 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.
  3. What is the expected value of Y ?

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Solution: The downloadable solution consists of 3 pages
Deliverable: Word Document


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