HW3_solutions_b

HW3_solutions_b - HW#3 Solutions 2011 AMS 311 Probability...

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HW#3 Solutions 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). (a) The Sample Space is {2d1n, 2d1p, 1d2n, 1d1n1p, 2n1p}, so X {25,21,20,16,11} (in cents) Explicitly P(X=25)=P(you get 2d1n)=; P(X=21)=P(you get 2d1p)=; P(X=20)=P(you get 1d2n)=; P(X=16)=P(you get 1d1n1p)=; Homework is due at the beginning of class on its due date. You must be in class and on time to submit your homework. No homework will be accepted via email. No late homework will be accepted. Your lowest homework grade will be dropped before computing your average.

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HW#3 Solutions AMS 311 Probability Theory (Spring 2011) P(X=11)=P(you get 2n1p)=; The pmf is Plot it by yourself. (Substract 1 point if the student doesn’t give the row “0, o.w”, the same policy for the other similar questions) (b) F(x) could be directly calculated based on p(x), which is given as
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HW3_solutions_b - HW#3 Solutions 2011 AMS 311 Probability...

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