There are two roads from A to B and two roads from B to C. Each of the four roads is blocked bysnow with probability p, independently of the others. Find the probability that there is an open roadfrom A to B given that there is no open route from A to C.If, in addition, there is a direct road from A to C, this road being blocked with probability pindependently of the others, find the required conditional probability.

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Answered: There are two roads from A to B and two…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A company sells a product which is either of low or high quality where the quality is known to the company but not to the buyer, though the buyer learns the product’s quality after purchasing and consuming it. The product is of high quality with probability q, and low quality with probability 1 - q. It is of value v to the buyer when it is high quality and of zero value when it is low quality. After Nature chooses the product’s quality, it is revealed to the seller but not to the buyer. The seller then chooses an introductory price (the price charged for the buyer’s first purchase) which can be any non- negative number. The buyer observes the introductory price and decides whether to buy. If the buyer chooses not to buy then the payoff to both the seller and the buyer is zero. If the product is purchased at an introductory price p and proves to be low quality then the buyer never buys it again and realizes a payoff of -p. If the buyer purchases it and it proves to be high quality then…
An ant is at one vertex of a square and needs to get to the opposite vertex (where there is food), walking along the sides of the square. The problem is that on each side, with probability p, there may be a predator preventing it from passing. The ant tries to go through where there are no predators. It is known that the events related to the presence of the predator on each side They are independent. Find the probability that a) The ant gets its food. b) There is at least one predator in the square, knowing that the ant gets its food. c) There are 4 predators in the square, knowing that the ant did not get its food. Need help with letter b :(
One of the n encrypted files in a folder is a special file. K of these files are removed one at a time by an attacker who has access to the folder. Each choice has an equal chance of being any of the currently available files. What is the probability that the person will withdraw the special file?You must justify or explain how you arrived at your conclusion.
Each of the questions in this boxpertains to rollinga pair of fair dice. Find the probability that the sum is less than 5 and the sum is prime.
A bowl contains 6 white marbles and 3 black marbles. Suppose one marble is randomly selected and is replaced by a marble of the other color. A second marble is then chosen. What is the conditional probability that the first ball selected is white marble, given that the second ball was white marble?
There are three closed boxes one of which contains a prize. If Joe correctly guesseswhich box has the prize in it he wins the prize. He chooses a box and then one of theremaining two boxes is revealed to be empty. Joe is then given the option to change hismind and choose the other box which is still closed. What is the probability of his winningthe prize if he changes his mind?
On Mr. Casper's debate team at Thunderbird High School, 20% of the members are Sophomores, 35% are Juniors and 45% are Seniors. A team member is selected randomly to give the closing argument for the team. If a sophomore gives the closing argument, the team has a probability of 0.25 of winning the debate. If a junior gives the closing argument, the probability of winning is 0.6. If a senior closes, the probability of winning is 0.85. (a) Find the probability that the team wins the debate. b sketch a tree diagram to model this process

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