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25. Free-throw percentage. A basketball player's free-throw percentage is 78%, meaning that for any given attempt, the probability that the shot is made is p = 0.78. Assume that each free-throw attempt is independent of the others. In one game, a player attempts 4 free throws. Let random variable X = the number of free throws the player makes. a) Find the probability mass function f(x) = P(X = x), and sketch its histogram.

25. Free-throw percentage. A basketball player's free-throw percentage is 78%, meaning that for any given attempt, the probability that the shot is made is p = 0.78. Assume that each free-throw attempt is independent of the others. In one game, a player attempts 4 free throws. Let random variable X = the number of free throws the player makes. a) Find the probability mass function f(x) = P(X = x), and sketch its histogram.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
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25. Free-throw percentage. A basketball player's free-throw percentage is 78%, meaning that for any given attempt, the probability that the shot is made is p = 0.78. Assume that each free-throw attempt is independent of the others. In one game, a player attempts 4 free throws. Let random variable X = the number of free throws the player makes. a) Find the probability mass function f(x) = P(X = x), and sketch its histogram. b) Find P(X = 2). What does this number represent? c) Find P(X = 2). What does this number represent? d) Find µ. What does this number represent? e) Sketch a tree diagram showing all possible sequences of successes and failures for 4 free throws.
Transcribed Image Text:25. Free-throw percentage. A basketball player's free-throw percentage is 78%, meaning that for any given attempt, the probability that the shot is made is p = 0.78. Assume that each free-throw attempt is independent of the others. In one game, a player attempts 4 free throws. Let random variable X = the number of free throws the player makes. a) Find the probability mass function f(x) = P(X = x), and sketch its histogram. b) Find P(X = 2). What does this number represent? c) Find P(X = 2). What does this number represent? d) Find µ. What does this number represent? e) Sketch a tree diagram showing all possible sequences of successes and failures for 4 free throws.
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