Answer all parts: a), b), c), d) Question 4: The Ottawa Titans are a professional baseball team in Ottawa. You arecurrently watching their home run derby, where, instead of playing a game, players competeto hit as many home runs as possible (a home run is where the ball is hit between the foulpolls and into the stands. For simplicity we will assume no one hits a ball beyond the stands).You are carefully tracking statistics and note the following about each homerun:• A homerun is hit into the lower deck (the lower level of the stands) with probability.● A homerun is hit into the upper deck (the higher level of the stands) with probability7.Assume each homerun is an independent event. There are 30 homeruns hit. There are200 people in the lower deck and 100 people in the upper deck. Every time a ball is hit intothe lower deck, 1 of the 200 people catches the ball (with equal probability, i.e. probability1/200) and if a ball is hit into the upper deck, 1 of the 100 people catches the ball (withequal probability).a) What is the probability that none of the 30 homeruns are hit into the upper deck?b) Assume 20 balls are hit into the lower deck. What is the probability that everyonecatches at most 1 ball?c) What is the probability that exactly 1 person catches exactly 2 balls, and everyoneelse catches at most 1 ball?

Given Information: A homerun is hit into the lower deck with probability 23. A homerun is hit into…

Question 4: The Ottawa Titans are a professional baseball team in Ottawa. You are currently watching their home run derby, where, instead of playing a game, players compete to hit as many home runs as possible (a home run is where the ball is hit between the foul polls and into the stands. For simplicity we will assume no one hits a ball beyond the stands). You are carefully tracking statistics and note the following about each homerun: • A homerun is hit into the lower deck (the lower level of the stands) with probability. • A homerun is hit into the upper deck (the higher level of the stands) with probability 3* Assume each homerun is an independent event. There are 30 homeruns hit. There are 200 people in the lower deck and 100 people in the upper deck. Every time a ball is hit into the lower deck, 1 of the 200 people catches the ball (with equal probability, i.e. probability 1/200) and if a ball is hit into the upper deck, 1 of the 100 people catches the ball (with equal probability). a) What is the probability that none of the 30 homeruns are hit into the upper deck? b) Assume 20 balls are hit into the lower deck. What is the probability that everyone catches at most 1 ball? c) What is the probability that exactly 1 person catches exactly 2 balls, and everyone else catches at most 1 ball?

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...