There is a 30% chance that a company bidding for the contract (A) gets that contract. There is a 40% chance that the same company bidding for the contract (B) gets that contract. There is a 5% chance of the company getting both contracts. Are the events dependent or in

There is a 30% chance that a company bidding for the contract (A) gets that contract. There is a 40% chance that the same company bidding for the contract (B) gets that contract. There is a 5% chance of the company getting both contracts. Are the events dependent or in

Name: There is a 30% chance that a company bidding for the contract (A) gets
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Description: There is a 30% chance that a company bidding for the contract (A) gets that contract. There is a 40% chance that the same company bidding for the contract (B) gets that contract. There is a 5% chance of the company getting both contracts. Are the eve

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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Construction company A is determining whether it should submit a bid for a new shopping center. In the past, their main competitor, construction company B, has submitted bids 80% of the time. If company B does not bid on a job, the probability that company A will get the job is 0.40. If company B bids on a job, the probability that company A will get the job is 0.25. a. If company A gets the job, what is the probability that company B did not bid? b. What is the probability that company A will get the job? a. If company A gets the job, what is the probability that company B did not bid? (Round to three decimal places as needed.) b. What is the probability that company A will get the job? (Round to three decimal places as needed.)
Tahir travels by flight from Kuala Lumpur to Istanbul with a connection flight in Abu Dhabi. The probability that his first flight leaves on time is 0.18. If the flight is on time, the probability that his luggage will make the connecting flight in Abu Dhabi is 0.88, but if the first flight is delayed, the probability that the luggage will make it is only 0.58. (i) Are the first flight leaving on time and the luggage making the connection independent events? Explain. (ii) Calculate the probability that his luggage arrives in Istanbul with him. (ii) Suppose that Haneen pick him up at the Istanbul airport, and his luggage is not there. Calculate the probability that Tahir first flight was delayed.
Dr. Cy Clopps is ophthalmologist and owner of the Spex Appeal Eye Clinic. A review of 100 patient’s records indicated that 30 of these patients have vision insurance. Further, 35 of the 100 patients got bifocal glasses but had no insurance. Finally, 10 of the 100 patients had insurance but did not get bifocals. d. Of those with insurance, what proportion got bifocals? e.Are the events independent? Mutually exclusive? Collectively exhaustive?
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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.
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?
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Tina Fey goes trick-or-treating the night of Halloween dressed as Sarah Palin. She visits homes in her neighborhood to collect candy, but only receives candy, naturally, when the door is answered and the family still has a piece of candy to give away. Upon knocking, the probability of the door being answered is 3/4, and the probability that the home still has candy is 2/3. Assume that the events “Door answered” and “candy remaining” are independent and also that the outcomes at each home are independent. Also assume that each home gives away at most a single piece of candy. (c) Determine the probability that she receives her second piece of candy at the fifth house. (d) Given that she did not receive her second piece of candy at the second house(not sure if she receive her first candy), determine the conditional probability that she will receive her second piece of candy at the fifth house.