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Homework #3 Solution
4.1.4 (a) E[X] =
0.0+2.5
2
= 1.25, V ar(X) =
(2.5.0)2
12
= 0.5208 (b) 0.0294
4.2.6 (a) E[X] = 0.5 (b)e2 (c)A Poisson Distribution with parameter 2 3 = 6 (d)0.2851
4.3.6 (a) A gamma distribution with param

Homework #1 Solution
1. = cfw_(red, shiny), (red, dull), (blue, shiny), (blue, dull)
2. = cfw_1, 2, 3, 4, 5, 6 and Prime=cfw_1, 2, 3, 5. All the events in are equally likely to
occur and each has a probability of 16 . Thus P r(P rime) = 64 = 23 .
3. = cfw