Question: 2. Suppose that a baseball game between teams A and B is tied at the end of the 9th inning. To determine a winner,

2. Suppose that a baseball game between teams A and B is

2. Suppose that a baseball game between teams A and B is tied at the end of the 9th inning. To determine a winner, extra innings will be played until one team scores more runs in an inning than the other. Suppose that the probability that A scores more than B in an inning is 0.2, the probability that B scores more than A in an inning is 0.25, and the probability that the score remains tied is 0.55. The innings are independent of each other. (a) What is the distribution of the number X of extra innings that need to be played until a winner is determined (including the last one where one team scores more runs)? To answer this question, state the possible values of X and give a formula for P(X = k) for all relevant k. (b) What is the probability that at least 5 extra innings are required to determine a winner? Eventually, one of the two teams wins. Show that the probability that B wins is 5/9. (Optional: You may try to use the same reasoning to compute the probability of A winning. If your answer is not 4/9, then something is wrong.)

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Question 2 Here probability of not having a winner in an innings 055 if the innings i... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Suppose B&E Press paid dividends at the end of each year according to the schedule below. It also reduced its share count by repurchasing 5 million shares at the end of each year at the ex-dividend...

Suppose you were to receive $1,000 at the end of 10 years. If your opportunity rate is 10 percent, what is the present value of this amount if interest is compounded (a) annually? (b) quarterly? (c)...

What will deposits of $60 made at the end of each month amount to after six years if interest is 4.8% compounded monthly?

Fluoxetine, a heavily prescribed antidepressant marketed under the name Prozac, can be prepared by a route that begins with reaction between a phenol and an alkyl chloride. (a) The rate of the...

1. Joshua Vermier of Sacramento, California, received a raise after his first year on the job to $43,800 from his initial salary of $42,000. What was Joshuas raise stated as a percentage? Inflation...

Consider the following problem, where the value of c1 has not yet been ascertained. Maximize Z = c1x1 + 2x2, Subject to and x1 0, x2 0. Use graphical analysis to determine the optimal solution(s)...

State the section(s) of the statement of cash flows prepared by the indirect method (operating activities, investing activities, financing activities, or not reported) and the amount that would be...

The first term in Equation 11.32 comes from the e it /2 part of Cos(t), and the second from e - it . Thus dropping the first term is formally equivalent to writing H' = (V/2)e - it , which is to say,...

Is there any difference between the WACC formula for investor-owned firms and that for not-for-profit businesses? MINI CASE Sandra McCloud a finance major in her last term of college is currently...

Riley & Associates is a CPA firm located in Clinton, Kansas. The firm deals primarily in tax and audit work. For billing of major audit engagements, it uses cost-plus contracts, and its profit factor...

Tomas and Alberto are trustee of a trust. The trust property includes shares in a private company that were transferred to the trustees on the creation of the trust. The settlor had been involved in...

Explain the term Contingent Contract with reference to the Indian Contract Act, 1872 with the help of an example. Also discuss the rules relating to enforcement of a contingent contract. (b) Limited...

: When performing a social media content audit, begin by looking at all of the content you ve posted in the last _ _ _ _ _ _ _ _ _ .

A skier weighing 600 N goes over a frictionless circular hill of radius R - 20 m (Figure). Assume that the effects of air resistance on the skier are negligible. As she comes up the hill, her speed...

On January 2, 2010, Patel Company purchased $80,000, 10-year, 7%, government bonds at 104, including the brokerage commission. January 2 is an interest payment date. (a) Journalize the entry to...

Bobbys Bagels just landed a contract to open 100 new stores in shopping malls across the country. The new business should triple the companys profits. Prior to disclosing the new contract to the...

The following is a true case. General Electric (GE), like many other large corporations, is scrutinized by financial analysts who develop quarterly forecast EPS figures for the company. The companies...

Pet Corporation acquired an 80 percent interest in She Corporation on January 1, 2011, for $320,000, at which time She had capital stock of $200,000 outstanding and retained earnings of $100,000. The...

sovle this Which of the following statements describes the challenge of data quality associated with data warehousing? O a.) Since data enters the data warehouse from multiple sources, there is a...

Baseball Baseball is a bat-and-ball game played between two teams of nine players each who take turns batting and fielding. The batting team attempts to score runs by hitting a ball (that is thrown...

7 . A baseball league needs to track the teams and games. The requirements are the following: A league has many teams. A team has at least 1 2 players and up to 1 6 players with last names, first...

SPAD 489 HAT Assignment - Premise Liability Analysis - S24 Due Date: Sunday, April 14 at 11:59 p.m. EST / 60 points Instructions: This activity may be completed individually, with a partner or in a...

FIRST 4 question needed. thanks The champion of the National Basketball Association (NBA) is determined by a best-of-seven series of games played between the winners of the Eastern and the Western...

In this assignment, you are a member of Union Team that is negotiating the Collective Bargaining Contract for Major League Basement.Review the contract and chose an area of the agreement (somewhere...