DebbieCraft FairMonster TrucksKyle:10Kyle:Debbie: 8Debbie: 1KyleKyle:7Kyle:Debbie: 7Debbie: 9Please use the game table above to find Kyle and Debbie's mixed strategy equilibria.W = Probability Kyle goes to Craft Fair.(1 – W) = Probability Kyle goes to Monster Trucks.1.Use this information to find Kyle's optimal probability of going to the craft fair andmonster trucks. Hint, what values of W and (1 - W) make Debbie indifferent to choosingeither craft fair or monster trucks?Z = Probability Debbie goes to Craft Fair.(1 – Z) = Probability Debbie goes to Monster Trucks.2.Use this information to find Debbie's optimal probability of going to the craft fair andmonster trucks. Hint, what values of Z and (1 - Z) make Kyle indifferent to choosingeither craft fair or monster trucks?Craft fairMonster Trucks

The given game table is,Craft FairMonster TrucksKyle100Debbie81Kyle79Debbie79

Answered: Please use the game table above to find…

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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Answers must be in 4 decimals 1. Bulsu plans to enforce speed limits using radar traps at 4 different locations within the campus. The radar traps at each of the locations L1, L2, L3, and L4 are operated 40%, 30%, 30%, and 20% of the time, and a person who is speeding on his way to work has probabilities of 0.2, 0.1, 0.5, and 0.2, respectively, of passing through these locations. If the person received a speeding ticket on his way to work, what is the probability that he passed through the radar trap located at L2? 2. A drug for the relief of asthma can be purchased from 5 different manufacturers in liquid, tablet, or capsule form, all of which come in regular and extra strength. How many different ways can a doctor prescribe the drug for a patient suffering from asthma?
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José plays basketball. He makes free throw shots 43% of the time. José must now attempt two free throws. The probability that José makes the second free throw given that he made the first is 0.49. Is José's first free throw shot independent of his second free throw shot? There is not enough information to determine whether or not the two free throws are independent of each other. The two free throws are dependent on each other. O The two free throws are independent of each other. What is the probability that José makes both free throws? Round your answer to three decimal places.
In an amusement arcade there is a horse race with horses coloured red, yellow and green. Only one player can play this game at any time and the outcomes of each race are independent of previous races. You can either bet 10p or 20p. If you bet 10p then each horse is equally likely to win. If you bet 20p the corresponding probabilities are 50%, 30% and 20%, respectively. Three times as many people bet 10p as do 20p. Given red wins, what is the probability it had been a 20p bet? 0.333 0.300 0.313 0.298
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(QUEEN'S SECRET AND GENIES) In old days, there was a queen and she had a secret problem to solve. To get an answer to her secret problem, the queen bought one female and one male genie lamps. The probabilities that her secret problem can be solved by the male and female genies are 0.3 and 0.4 respectively. A Queen looking for divine help. Assume the queen keeps the genies independently away from each other with a fear that both could not harm her, what is the probability that the queen's secret problem is solved by at least one of the genies? Note: Please keep accuracy upto two decimal places.
Your probability professor has a tabby cat who sleeps 34% of the time and seems to respond to stimuli more or less randomly. If a human pets her when she’s awake, she will request more petting 8% of the time, food 38% of the time, and a game of fetch the rest of the time. If a human pets her when she’s asleep, she will request more petting 33% of the time, food 41% of the time, and a game of fetch the rest of the time. (You can assume that the humans don’t pet her disproportionally often when she’s awake.) • If the cat requests food when petted, what is the probability that she was asleep? • If the cat requests a game of fetch when petted, what is the probability that she was not asleep?
Please help!!! Q4. Ariana and Bella are playing a game. They each have 4 cards, which are numbered 1, 2, 3 and 4. Each shuffles her own cards and turns one over at random. If the cards show the same number, Ariana wins and Bella must pay Ariana $3. If the cards show different numbers, Bella wins and Ariana must pay Bella $1. By finding the probabilities of Ariana and Bella winning, show whether or not the game is fair.
Samatya supermarket is planning to order souvenir cups for the upcoming national feast. The cups cost $5 and sells for $20 each. The managers believe that the demand will be 500 cups with 20% probability, 1000 cups with 50% probability and 1500 cups with 30% probability. They plan to order 600, 1000 or 1300 cups. They have the opportunity to order 200 cups more for with a $15 per cup cost if the demand comes out as 1500 cups. The cups left on hand will be scrapped as there will be no more demand for them. Draw and solve the decision tree for this problem.
Luis is playing a paint ball game. To win, he must capture the flag and choose the correct escape route. The chance that he captures the flag is 62%. The chance that he chooses the correct escape route is 68%. The probability that he does both is 41%. Create a Venn Diagram and determine the probability that: He captures the flag and chooses the correct route He only captures the flag He only chooses the correct route He doesn’t complete either task
Answers must be in 4 decimals |1. Ben plans to enforce speed limits using radar traps at 4 different locations within the campus. The radar traps at each of the locations L1, L2, L3, and L4 are operated 40%, 30%, 30%, and 20% of the time, and if a person who is speeding on his way to work has probabilities of 0.2, 0.1, 0.5, and 0.2, respectively, of passing through these locations, what is the probability that he will not receive a speeding ticket? 2. Barangay Scout Fernandez has one fire truck and one ambulance available for emergencies. The probability that the fire truck is available when needed is 0.95, and the probability that the ambulance is available when called is 0.90. in the event that there is a fire in the barangay, find the probability that both the ambulance and the fire truck will be available.

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