Stacking in the NBA. Refer to the Sociology of Sport Journal (Vol. 14,1997) study of “stacking” in the National Basketball Association (NBA), presented in Exercise 3.54 (p. 137). Consider again the table that follows, which summarizes the races and positions of 368 NBA players in 1993. Suppose an NBA player is selected at random from that year’s player pool.
Position | ||||
Guard | Forward | Center | Totals | |
White | 26 | 30 | 28 | 84 |
Black | 128 | 122 | 34 | 284 |
Totals | 154 | 152 | 62 | 368 |
a. Given that the player is white, what is the probability that he is a center?
b. Given that the player is African-American, what is the probability that he is a center?
c. Are the events {White player} and {Center} independent?
d. Recall that “stacking” refers to the practice of African-American players being excluded from certain positions because of race. Use your answers to parts a-c to make an inference about stacking in the NBA.
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