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HW3 - HW#3 Due 03/07 AMS 311 Probability Theory(Spring 2011...

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HW#3, Due 03/07 AMS 311 Probability Theory (Spring 2011) Read: Ross, Chapter 4, Sections 4.1–4.5. You may skip Example 1e, Example 4c Part 1 (10 points): PRINT your name and StonyBrook ID ( Last, First, #ID ) on the top on your work sheet. Staple your HW if more than 1 pages. Part 2: Problems (90 points) Write down your work step by step to get full score. (1). (20 points) In your pocket, you have 2 dimes, 2 nickels, and 1 penny. You select 3 coins at random (without replacement). Let X represent the amount (in cents) that you select from your pocket. (a). (9 points) Give (explicitly) the probability mass function for X. Also show a plot of it. (b). (7 points) Give (explicitly) the cdf, F(x), for X. Also show a plot of it. (c). (4 points) How much money do you expect to draw from your pocket? (2). (25 points) Consider a random variable X whose distribution function (CDF) is given by (a). (4 points) Give the probability mass function, p(x), of X, explicitly. (b). (3 points) Compute P(2 < X < 3).

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HW3 - HW#3 Due 03/07 AMS 311 Probability Theory(Spring 2011...

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