25. Free-throw percentage. A basketball player's free-throwpercentage is 78%, meaning that for any given attempt,the probability that the shot is made is p = 0.78. Assumethat each free-throw attempt is independent of the others.In one game, a player attempts 4 free throws. Let randomvariable X = the number of free throws the player makes.a) Find the probability mass functionf(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 sequencesof successes and failures for 4 free throws.

Given, p=0.78 n=4 q= 1-p = 1-0.78 = 0.22 It is binomial distribution:

Answered: 25. Free-throw percentage. A basketball…

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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