On a given weekend in the fall, a tire company can buy television and advertising time for a college football game, a baseball game, or a professional football game. Ifthe company sponsors the college football game, there is a 70% chance of a high rating, a 40% chance if they sponsor a baseball game, and a 60% chance if theysponsor a professional football game. The probabilities of the company sponsoring these various games are 0.5, 0.2, and 0.3, respectively. Suppose the company doesget a high rating, find the probability that it sponsored a professional football game.The probability is:(Type an integer or a simplified fraction.)

Answered: Image /qna-images/answer/36816bd2-5aae-4121-ba6a-43a6dffb8084.jpg

Answered: On a given weekend in the fall, a tire…

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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Three cowboys Doc Holiday, Wyatt Erp, and Wild Bill are locked in a 3-way duel. When the churchbell rings at high noon, all three will draw their guns and fire one shot simultaneously. A hit is registered if a shooter is hit by either of the other two cowboys. Doc Holiday will randomly aim and fire at either Wyatt Erp or Wild Bill, with an even split probability of 0.5 of who he'll shoot at. Being a good shot, he has a 60% chance of hitting the target he fires at. Wyatt Erp will randomly aim and fire at either Doc Holiday or Wild Bill, with an even split probability of 0.5 of who he'll shoot at. Also a good shot, he has a 60% chance of hitting the target he fires at. Wild Bill will randomly aim and fire at either Wyatt Erp or Doc Holiday, with an even split probability of 0.5 of who he'll shoot at. Being a poor shot, he only has a 30% chance of hitting the target he fires at. Let X denote the number of cowboys that are hit after all three take one shot at the same time. a) What are…
(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.
Bob, the proprietor of Midway Lumber, bases his projections for the annual revenues of the company on the performance of the housing market. He rates the performance of the market as very strong, strong, normal, weak, or very weak. For the next year, Bob estimates that the probabilities for these outcomes are 0.15, 0.25, 0.39, 0.09, and 0.12, respectively. He also thinks that the revenues corresponding to these outcomes are $23, $18.6, $16.9, $14, and $6 million, respectively. What is Bob's expected revenue for next year?
The proprietor of Midland Construction Company has to decide between two projects. He estimates that the first project will yield a profit of $160,000 with a probability of 0.7 or a profit of $120,000 with a probability of 0.3; the second project will yield a profit of $220,000 with a probability of 0.6 or a profit of $70,000 with a probability of 0.4.Find the expected profit for each project. first project $ second project $ Which project should the proprietor choose if he wants to maximize his expected profit? first project second project
Becky and Carla take an advanced yoga class. Becky can hold 29% of her poses for over a minute, while Carla can hold 35% of her poses for over a minute. Suppose each yoga student is asked to hold 50 poses. Let B the proportion of poses Becky can hold for over a minute and C = the proportion of poses Carla can hold for over a minute. What is the probability that Becky's proportion of poses held for over a minute is greater than Carla's? Find the z-table here. O 0.159 O 0,259 0 0.448 O 0,741 Save and Exit Next Submit Math and rem 96 & 7 8 9. 10
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Global Airlines operates two types of jet planes: jumbo and ordinary. Of Global's air fleet, 40% of its capacity is provided on jumbo jets. Global serves two types of customers, business and tourist. Business customers are 70% of Global customers, while tourists make up 30%. 15% of Global's customers fly on jumbo jets and are tourists. What is the probability that a customer is a tourist and flies on a regular jet?
In a certain community, eight percent of all adults over age 50 have diabetes. If a health service in this community correctly diagnosis 95% of all persons with diabetes as having the disease and incorrectly diagnoses ten percent of all persons without diabetes as having the disease, find the probabilities that: The health service will diagnose an adult over age 50 as having diabetes. A person over 50 diagnosed by the health service as having diabetes actually has the disease.
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
A realtor who takes the listing on a house to be sold knows that she will spend $800 trying to sell the house. If she sells it herself, she will earn 6% of the selling price. If another realtor sells a house from her list, the first realtor will earn only 3% of the price. If the house remains unsold after 6 months, she will lose the listing. Suppose that probabilities are as follows: Event Probability Sells the house alone 0.50 Sells through another agent 0.40 Does not sell in 6 months 0.10 What is the expected profit from listing a $185,000 house?

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