Jamal Crawford of the National Basketball Association’s Portland Trail Blazers is the best free-throw shooter on the team, making 93% of his shots (ESPN website, April 5, 2012). Assume that late in a basketball game, Jamal Crawford is fouled and is awarded two shots. a. What is the probability that he will make both shots? b. What is the probability that he will make at least one shot? c. What is the probability that he will miss both shots? d. L ate in a basketball game, a team often intentionally fouls an opposing player in order to stop the game clock. The usual strategy is to intentionally foul the other team’s worst free-throw shooter. Assume that the Portland Trail Blazers’ center makes 58% of his free-throw shots. Calculate the probabilities for the center as shown in parts (a), (b), and (c), and show that intentionally fouling the Portland Trail Blazers’ center is a better strategy than intentionally fouling Jamal Crawford. Assume as in parts (a), (b), and (c) that two shots will be awarded.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Jamal Crawford of the National Basketball Association’s Portland Trail Blazers is the
best free-throw shooter on the team, making 93% of his shots (ESPN website, April 5,
2012). Assume that late in a basketball game, Jamal Crawford is fouled and is awarded
two shots.
a. What is the probability that he will make both shots?
b. What is the probability that he will make at least one shot?
c. What is the probability that he will miss both shots?
d. L ate in a basketball game, a team often intentionally fouls an opposing player in order
to stop the game clock. The usual strategy is to intentionally foul the other team’s
worst free-throw shooter. Assume that the Portland Trail Blazers’ center makes 58%
of his free-throw shots. Calculate the probabilities for the center as shown in parts (a),
(b), and (c), and show that intentionally fouling the Portland Trail Blazers’ center is a
better strategy than intentionally fouling Jamal Crawford. Assume as in parts (a), (b),
and (c) that two shots will be awarded.
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