A group of research proposals was evaluated by a panel of experts to decide whether or not they were worthy of funding. When these same proposals were submitted to asecond independent panel of experts, the decision to fund was reversed in 20% of the cases. If the probability that a proposal is judged worthy of funding by the first panel is0.4, what are the probabilities of these events?(a) A worthy proposal is approved by both panels.(b) A worthy proposal is disapproved by both panels.(c) A worthy proposal is approved by one panel.

Given: the decision to fund was reversed in 20% of the cases. The probability that a proposal is…

Answered: A group of research proposals was…

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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A regional automobile dealership sent out fliers to prospective customers indicating that they had already won one of three different prizes: an automobile valued at $30,000, a $125 gas card, or a $5 shopping card. To claim his or her prize, a prospective customer needed to present the flier at the dealership's showroom. The fine print on the back of the flier listed the probabilities of winning. The chance of winning the car was 1 out of 31,729, the chance of winning the gas card was 1 out of 31,729, and the chance of winning the shopping card was 31,727 out of 31,729. Complete parts (a) through (d). a. How many fliers do you think the automobile dealership sent out? Assume there is one car and one gas card available. 31729 fliers C b. Using your answer to (a) and the probabilities listed on the flier, what is the expected value of the prize won by a prospective customer receiving a flier? H=$5.95 (Round to the nearest cent as needed.) c. Using your answer to (a) and the probabilities…
A recent survey shows that 16% of college students have dogs and 38% have an HBO subscription. Assuming these two events are independent, what is the probability that a randomly selected college student has neither a dog nor HBO?
An airline is considering adding a route to the city of Buffalo, NY. Market research predicts that if the airline serves Buffalo, there is a 32% probability of making a $500,000 profit, a 22% chance of breaking even, and a 46% probability of losing $300,000. What is the expected value of adding a route to Buffalo?
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(6) A local university offers free flu shots to its employees. Of the eligible employees, 75% have the flu shot and 25% do not. Of the employees that take the flu shot, 10% actually get the flu. Of the employees that do not take the flu shot, 45% actually get the flu. What is the probability that a person who gets the flu took the flu shot? What is the probability that a person who does not get the flu did not have a flu shot?
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A car insurance company has high-risk, medium-risk, and low-risk clients, who have, respectively, probabilities .04, .02, and .01 of filing claims within a given year. The proportions of the numbers of clients in the three categories are .15, .25, and .60, respectively. What is the probability that a random client doesn’t file a claim?
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