2. Sophie is a dog who loves to play catch. Unfortunately, she is not very good, and the probability that she catches a ball is 10%. Define X to be the number of tosses until Sophie catches the ball. a) What is the probability that Sophie will catch the ball on her second try? b) What is the probability that it will take more than three tosses for Sophie to catch her first ball? c) What is the expected number of tosses before Sophie will catch her first ball?

2. Sophie is a dog who loves to play catch. Unfortunately, she is not very good, and the probability that she catches a ball is 10%. Define X to be the number of tosses until Sophie catches the ball. a) What is the probability that Sophie will catch the ball on her second try? b) What is the probability that it will take more than three tosses for Sophie to catch her first ball? c) What is the expected number of tosses before Sophie will catch her first ball?

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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