2. (Finite Stochastic Processes). If a baseball team wins a game, they have a 38% chance of winning the next game due to gettingoverconfident (draws/ties should not occur in baseball). If they lose the previous came, there is a 70.5% chance they will win the nextgame. Assume that for the first game there is a 50% chance of winning. What is the probability the team wins the fourth game?Please give a complete, fully typed, solution to the problem. Please do not submit photos of hand-written notes instead of properlytyped math text! (this may lead to going back "on" the screening, if you are currently "off" the screening).

Given information: The information about a baseball team is given.

Answered: (Finite Stochastic Processes). If a…

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...

See similar textbooks

Similar questions

A Southwest Energy Company pipeline has 3 safety shutoff valves in case the line springs a leak. These valves are designed to operate independently of one another. There is only a 7% chance that valve 1 will fail at any one time, a 10% failure chance for valve 2, and a 5% failure chance for valve 3. If there is a leak, find the following probabilities: that all 3 valves operate correctly.
Q1. One day Levi and Eren sat together and decide to play Tic-Tac-Toe game. In total they played 45 games where Levi won 20 games, 13 games won by Eren and rest of the games ended in draw. After this they decide to play 4 games again. Now find the probability that – (a) Levi won at most 3 games. (b) 2 games ended in draw.
A stock index consists of businesses in both Europe and the United States. Assume that each business comprising the stock index makes a profit or loss independently of the other businesses in the index. Suppose that an American business on the stock index makes a profit 60%60% of the time and a European business makes a profit 80%80% of the time. If there are 840 American businesses and 720 European businesses in the stock index, what is the expected number of businesses in the stock index to make a profit?
Number 8 A and B please
3. You get a haircut from Barber Shop 1 30% of the time and Barber Shop 2 70% of the time. Barber Shop 1 gives a good haircut 80% of the time and a bad haircut 20% of the time while Barber Shop 2 gives a good haircut 90% of the time and a bad haircut 10% of the time. For any given haircut, the probability that it is a bad haircut from Barber Shop 1 is Barber Shop 2 is and the probability that it is a good haircut from O.06; .63 .2; .73 O.06; .73 .2; .63
Throughout a month (30 days), everyday you play a certain game exactly once.On the first day you deposit 1000 coins and everyday you bet any positive amount (not exceeding the deposit) and at the end of the game,your bet is tripled (with probability 4/9) and added to your deposit or lost (with probability 5/9), independently each day.If on some day, you bet all your deposit and lose the game, then you are bankrupt and game ends.How much should you bet on each day?
Q4. The components of a 6-component system are to be randomly chosen from a bin of 25 used components. The resulting system will be functional if at least 5 of its 6 components are in working condition. If 15 of the 25 components in the bin are in working condition, what is the probability that the resulting system will be functional?
Suppose you’re playing Texas Hold ’Em Poker, and you are dealt a hand witha Jack of Clubs and a Queen of Hearts. The river of 5 cards hasn’t been dealtyet, and you’re hoping to get a straight (5 cards with consecutive ranks, such as10,J,Q,K,A or 8,9,10,J,Q). What is the probability that you will get a straightthat uses both the Jack and Queen in your hand? (This last part is to keep theproblem simple, since it’s possible to get a straight that uses neither card in your hand, suchas A,2,3,4,5, all in the river. Besides, in those cases, ALL players would have a straight, sothat’s not so good for you!)Guide: Our goal is to calculate:P(straight using both cards in hand) = # 5-card combinations that get us a straight with the J & Q# 5-card combinations overall .(a) We’ll start with the denominator, which can be done with a singleformula from class: How many 5-card combinations are possible for theriver? (Keep in mind what is in your hand. Note that how many opponents you haveand what…

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS