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Chapter 3

Problem#3.40

[a] P( BC )  1  P( B)  1  .7  .3
[b] P( AC )  1  P( A)  1  .4  .6
[c] P( A  B)  P( A)  P( B)  P( A  B)  0.4  0.7  0.3  0.8

Problem# 3.54

[a] P(player is white) = 84 / 368 = 0.228
[b] P(player is center) = 62 / 368 = 0.168
[c] P(player is an African American and a guard) = 128 / 368 = 0.348.
[d] P(player is not a guard) = 1- P(player is a guard) = 1 – 154 / 368 = 0.582
[e] P(player is white or a center ) = P(player is white) + P(player is center ) – P(player
is white and center) = 84/368 + 62/368 – 28/368 = 0.320

Problem # 3.162

Define the following events:
A: {Student classified as aggressive}
B: {Student is firstborn}

[a] P( B)  P( B  A)  P( B  Ac )  0.15  0.25  0.40
[b] P( A)  P( A  B)  P( A  B c )  0.15  0.15  0.30
P( A  B) 0.15
[c] P( A | B)                     0.375
P( B)      0.40
[d] Since P( A)  P( A | B), A and B are not independent.

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