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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.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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