ProbabilityHandout509

# ProbabilityHandout509 - Probability Handout STAT 509 Fall...

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Probability Handout – STAT 509 – Fall 2011 For all these problems, show fully how you got your answers! 1. The following table summarizes the race and positions of NBA players in 1993. Position Guard Forward Center Totals Race: White 26 30 28 84 Black 128 122 34 284 Totals 154 152 62 368 Suppose one player is chosen at random from this group. Let us define the following events: A = {the selected player is white} B = {the selected player is a center} C = {the selected player is black} D = {the selected player is a guard} (a) Find P(A). (b) Find P(B). (c) Find P(C ∩ D). (d) Find the probability that the player is NOT a guard. (e) Find P(A U B). ---------------------------------------------------------------------------------------------------- 2. For two independent events A and B, suppose P(A) = 0.4 and P(B) = 0.2. (a) Find P(A ∩ B). (b) Find P(A | B). (c) Find P(A U B).

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3. Define the two events A and B as follows: A = {we have rain tomorrow} and B = {we have 10-plus mph wind tomorrow}. Assume P(A) = 0.4, P(B) = 0.2, and P(A ∩ B) = 0.1.
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ProbabilityHandout509 - Probability Handout STAT 509 Fall...

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