Exam#2.pdf (SECURED) - Adobe Acrobat Reader DCToolols HelpModeDelay - AProblem 3) A TV purchased from "Reasonably Honest Sami's Appliance Store"willrequire repair on average once every two years. Assuming that the time between repairs isexponentially distributed,a) What is the probability that the TV will work at least 3 years without requiring repairs?b) If you were told that the TV has been working for 2 years already without requiringany repairs, what is the probability that the TV will work repair-free for a total 5 leastyears?

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Answered: Exam#2.pdf (SECURED) - Adobe Acrobat…

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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Question 2 The telephone lines serving Oman Air reservation office are all busy about 60% of the time. (a) If you are calling this office, what is the probability that you will complete your call (the office will answer your call) on the first try or the second try? (b) If you and a friend must both complete calls to this office, what is the probability that a total of five tries will be necessary for both of you to get through?
QUESTION 3 At a particular garage 20% of the cars that arrive for repair have engine trouble. Upon arrival at the garage an engine diagnostic test is carried out on the car, but this engine diagnostic test is far from perfect. If the car has engine trouble the diagnostic test will turn out positive with a probability of 0.9. If the car does not have engine trouble, the diagnostic test will turn out positive with a probability of 0.05. For each of the questions below explain your answer i.e. show your reasoning. Q 3(a) What is the probability of a positive engine diagnostic test? Q 3(b) Using Bayes Theorem, calculate the probability that the car has engine trouble, if the engine diagnostic test is positive. Q 3(c) Using Bayes Theorem, calculate the probability that the car does not have engine trouble, if the engine diagnostic test is negative.
Question 7. [5] Vodacom, uses a large number of common batteries in one of its most popular lines of phones. After testing a large number of them, they found that the average time to failure is 1/2, 8000 hours. a) What is the probability that a component will fail within 1500 hours? b. What is the probability that a component will fail after 8800 hours?
QUESTION 11 QwikStore has kept their daily sales records on their 20 oz. "Awesome Drink" across the last 400 days. Assuming that past performance is a good indicator of future sales, what is the probability that 100 "Awesome Drink" sales will be made? Number Sold of "Awesome Drinks" 50 75 100 125 Total OA).1875 O B).3125 O C).50 O D),.80 OE).25 Number of Days 75 120 125 80 400
Question #1
Question 24
Question 3 Assuming that births in PGH occur randomly at an average rate of 0.8 births per hour. What is the probability of having 8 births in a day?
Question 1 According to the Chronicles of Contrived Statistics (March, 2016), the probability that scientists from Area 51 will begin selling pet aliens in the next month is 20%. The probability that either Elon Musk will offer you a free trip to space or that scientists will begin sales of pet aliens next month is 43%. Finally, they list that probability of both happening in the next month is 13%. What is the probability that Elon Musk will offer you a free trip into space in the next month? Round to two decimal places as needed.
Question 2) Waiting Line Analysis A customer service desk with 1 worker is able to process an average of 9 customer inquiries per hour. An average of 6 customers arrive for help at the desk each hour. c) What is the average time required to serve a customer (in minutes)? d) What is the probability that more than 2 customers will arrive in the next hour?
QUESTION 5 A company's report shows that. 18% receive a salary increment. 7% of its workers had been receives the staff's award for the Year 2022 3.5% had received the staff's award and received a salary increment. a) Find the probability that a worker has received the staff's award, given that he/she has never received salary increment. b) Find the probability a worker receives salary increment or has received the staff's award. c) Find the probability a worker has never received the salary increment. d) Find the probability a worker has never received both.
Question 1 A store-bought pregnancy test produces a correct result 99% of the time when a woman is actually pregnant but is only 97% accurate when a woman is not pregnant. What are the chances of a false positive and a false negative respectively? Question 2 Assuming a woman has a 90% chance of actually being pregnant when she takes the test, and that she takes TWO tests (requiring the same signal from both tests to either confirm OR reject) what is the probability of she will get a "double positive" result? Also, what is the probability of an "uncertain" result (one of each)?
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