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
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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)=;
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View Full DocumentHW#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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 Spring '08
 Tucker,A
 Probability, Probability theory, #ID

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