Tom is planning to join three events in the upcoming athletic meet.He is pretty good in two of the events having a probability Of 0.6and 0.8, respectively, of winning the events. Unfortunately, he isnot so good with the third event having only a 0.3 chance ofwinning the event. Assuming his performances in the said eventsare independent, what is the probability that he would win exactlytwo of the three events?

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Answered: Tom is planning to join three events in…

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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There was a baseball game between Oscar and Gabe. The chance of Oscar winning is 3/5 (60%). The chance of Gabe winning is 2/5 (40%). This game wasn't a one game competition. It's the best of 5 series. This means the first person to win 3 games is the overall champion. What's the probability (% is best) that Oscar is the champion? Don't answer this question as Oscar with a 60% chance and Gabe as a 40% chance. Also, don’t use the equation for finding multiple events for probability.
The management of marks department store estimates that approximately 6% of all shoppers shoplift. Of those people who shoplift, 98% are stopped by security. Of the other 94% of the shoppers, 1% are mistakenly identified as shoplifters by security. If a shopper is detained by security, what is the probability that the person was in fact a shoplifter?
A jet fighter consists of two engines. The probability that the second engine functions in a satisfactory manner during its design life is 0.96, and the probability that at least one if the two engines does so is 0.98 and the probability that both engine do so is 0.935. Given that the first engine functions in a satisfactory manner throughout its design life, what is the probability that the second one also?
Hamza comes to office located in Islamabad through different modes of transport. From his past data, it is known that the probability of him coming through car, bus, motorbike and rickshaw are respectively 31 1 ,2 10'5'10 1 1 ,and -and- 5 The probabilities that he will arrive to his office late are if he comes by car, bus and motorbike. Interestingly, he will not be late if he comes by rickshaw. Suppose, he arrives late on Friday. What is the probability that he came by car?
You are the webmaster for your firm's website. From your records, you know that the probability that a visitor will buy something from your firm is 0.26. In one day, the number of visitors is 1050. If the visitors' traffic is more than the expected for the day, what is the probability that at least 10 more than the expected visitors will buy something from the firm?
Wendy needs to get to an airport from a hotel. There is 0.33 chance that she calls a cab, there is 0.11 chance that she gets a Uber. If she cannot get a cab or Uber, she will take a shuttle. If she calls a cab, there is 0.29 chance that she could miss the flight. If she gets a Uber, the chance of missing flight is 0.22. If she takes the shuttle, the chance is 0.28. What is the probability that she misses the flight? (Round your answer to three decimal places)
Brian, a landscape architect, submitted a bid on each of three home landscaping projects. He estimates that the probabilities of winning the bid on Project A, Project B, and Project C are 0.7, 0.5, and 0.2, respectively. Assume that the probability of winning a bid on one of the three projects is independent of winning or losing the bids on the other two projects. Find the probability that Brian will experience the following. (a) Win all three of the bids (b) Win exactly two of the bids (c) Win exactly one bid
Johnny plans to go biking or hiking over the weekend. The probability that he does at least one of these is 0.70 while the probability that he does both is only 0.50. If Johnny is equally likely to go biking as to go hiking, what is the probability that he goes biking but not hiking?
In 2013, the total sales from 3 different car production companies was 606,334 cars or light trucks. The probability that the vehicle was made by Company A was 0.386, by Company B 0.350, and by Company C 0.258. Additionally, the probability that a Company A vehicle sold was a car was 0.379, a Company B vehicle sold was a car was 0.370, and a Company C vehicle sold was a car was 0.332. Given the vehicle sold was a car, find the probability it was made by Company A. The probability a vehicle was made by Company A, given it was a car is (Round to three decimal places as needed.)
Ken has applied to both FSU and the UGA. He thinks the probability that FSU will admit him is 0.4, the probability that UGA will admit him is 0.5, and the probability that both will admit him is 0.1. What is the probability that Ken will not get into either school?
In 2013, the total sales from 3 different car production companies was 606,334 cars or light trucks. The probability that the vehicle was made by Company A was 0.381, by Company B 0.350, and by Company C 0.258. Additionally, the probability that a Company A vehicle sold was a car was 0.385, a Company B vehicle sold was a car was 0.370, and a Company C vehicle sold was a car was 0.332. Given the vehicle sold was a car, find the probability it was made by Company A. The probability a vehicle was made by Company A, given it was a car is (Round to three decimal places as needed.)
In the last week of the semester, Stéphane decides to “reward” the students by no longer limiting himself to 4 exercises and instead assigning every activity he writes. If a student with a 60% chance of correctly answering an exercise is expected to answer three correctly, what is the probability that Stéphane did not have a visitor that week?

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