During the 2010-2011 NBA season, LeBron James of the Miami Heat attempted 279 three-point baskets and made
Question:
(a) Let a random variable X denote the result of a two-point attempt. X is either 0 or 2, depending on whether the basket is made. Find the expected value and variance of X.
(b) Let a second random variable Y denote the result of a three-point attempt. Find the expected value and variance of Y.
(c) In a game, LeBron attempts 5 three-point baskets and 20 two-point baskets. How many points do you expect him to score?
(d) During this season, LeBron averaged 22.7 points from two- and three-point baskets. In the game described in part (c), he made 3 three-pointers and 10 two-point baskets. Does this seem typical for his total? Be sure to identify any further assumptions that you make.
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Related Book For
Statistics For Business Decision Making And Analysis
ISBN: 9780321890269
2nd Edition
Authors: Robert Stine, Dean Foster
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