Suzy Sureshot is the star of the Lady Ferrets basketball team. She has been fouled and has been granted a "one-and-one free throw." This means that she gets to make a free throw (she stands at a designated spot and tries to throw the ball into the basket). If she succeeds on her first shot, she gets to make a second free throw. If she misses on her first throw, she does not get another shot. Let us suppose that she succeeds in such shots with fixed probability p. Moreover, we assume that all shots are independent of one another. Suzy gets either 0, 1 or 2 points depending upon the number of free throws she succeeds in. (i) Determine the probability function for the number of points Suzy gets as a function of p. ( ii ) What is the expected value of the number of points she gets (as a function of p)?

Suzy Sureshot is the star of the Lady Ferrets basketball team. She has been fouled and has been granted a "one-and-one free throw." This means that she gets to make a free throw (she stands at a designated spot and tries to throw the ball into the basket). If she succeeds on her first shot, she gets to make a second free throw. If she misses on her first throw, she does not get another shot. Let us suppose that she succeeds in such shots with fixed probability p. Moreover, we assume that all shots are independent of one another. Suzy gets either 0, 1 or 2 points depending upon the number of free throws she succeeds in. (i) Determine the probability function for the number of points Suzy gets as a function of p. ( ii ) What is the expected value of the number of points she gets (as a function of p)?

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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