4. An agency employs three consulting firms, A, B and C, with probabilities 0.25, 0.3 and 0.45, re-spectively. It is known that the probability of cost overruns for the firms are 0.07, 0.05 and 0.03,respectively. What is the probablity that a cost overrun experienced by the agency involved firm B?Write your final answer in 2 decimal places.

Let 'O' be the event that the company experienced cost overrun…

Answered: An agency employs three consulting…

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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Alicia believes that the probability for the stock market to go down is 0.7 given that the economy deteriorates during pandemic covid-19. She also believes that the probability that the economy will deteriorate is 0.5. Based on the information above, what is the probability that the economy will deteriorate and the stock market will go down？
A blood test for diabetes gives a positive result with a proportion of 0.44 when an individual has diabetes and a negative result with a proportion of 0.33 when they do not. Approximately a proportion of 0.14 of the population has diabetes. If a randomly chosen citizen tested negative, what is the probability that they actually have diabetes? Round your answer to five decimals.
Wyatt buys a bag of cookies that contains 8 chocolate chip cookies, 4 peanut butter cookies, 8 sugar cookies and 6 oatmeal cookies. What is the probability that Wyatt reaches in the bag and randomly selects a chocolate chip cookie from the bag, eats it, then reaches back in the bag and randomly selects an oatmeal cookie? Give your answer as a fraction, or accurate to at least 4 decimal places.
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A. A recent study found that 2% of Americans admitted they had driven while intoxicated in the prior month. If a problem asks you to find the probability that 200 or fewer people in a population of 10,000 drive under the influence of alcohol, how do you solve the problem after finding the probability in the z-table? A. Subtract one from the probability you find in the z-score tables B. The probability that equates to the z-score is the answer C. Tis problem cannot be answered with the z-tables D. Take the probability you find in the z-score tables and subtract from one
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Consider the situation that two events A and B are independent. P(A) = 0.2 and P(B)= 0.5. What is the probability that both events A and B occur?
You have relatives coming for dinner this weekend. The probability that your uncle Josiah will show up is 0.69. What is the probability that uncle Josiah doesn't show up? Enter your answer as a decimal, rounded to three decimal places.
Suppose 58% of the children in a school are girls. If a sample of 425 children is selected, what is the probability that the sample proportion of girls will be greater than 63%? Round your answer to four decimal places.
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Guadalupe buys a bag of cookies that contains 6 chocolate chip cookies, 9 peanut butter cookies, 9 sugar cookies and 7 oatmeal raisin cookies. What is the probability that Guadalupe randomly selects a sugar cookie from the bag, eats it, then randomly selects another sugar cookie? (Round your answer to 4 decimal places.)
If the probability that the Islanders will beat the Rangers in a game is 81%, what is the probability that the Islanders will win at least three out of five games in a series against the Rangers? Round your answer to the nearest thousandth.

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