Example 5.3: A large chain retailer purchases a certain kind of electronic device from a manufacturer.The manufacturerindicates that the defective rate of the device is 3%.(a) The inspector randomly picks 20 items from a shipment. What is the probability that there will be at least onedefective item among these 20?(b) Suppose that the retailer receives 10 shipments in a month and the inspector randomly tests 20 devices pershipment. What is the probability that there will be exactly 3 shipments each containing at least one defective deviceamong the 20 that are selected and tested from the shipment?

If each trial has only two possible outcomes, that is, success and failure, the probabilities of…

Answered: Example 5.3: A large chain retailer…

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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Similar questions

1. A beverage manufacturing company uses a pair of redundant pumps to transfer flavored syrups to the bottling line. Each pump has a À of 0.055 failures per year and ß of 0.05. What is the probability that both pumps will fail during a 45 day production run? a. 0.00004 b. 0.00034 c. 0.00038 d. 0.12
QUESTION 3 Data on a survey of 80 magazine subscribers showed that 32 subscribers rented a car during the past 12 months for business reasons, 40 subscribers rented a car during the past 12 months for personal reasons, and 24 subscribers rented a car during the past 12 months for both business and personal reasons. 3.1. What is the probability that a subscriber rented a car during the past 12 months for business reasons? 3.2. What is the probability that a subscriber rented a car during the past 12 months for personal reasons? 3.8. What is the probability that a subscriber rented a car during the past 12 months for both business and personal reasons? S.A. What is the probability that a subscriber rented a car during the past 12 months for business or personal reasons? 8.5. What is the probability that a subscriber rented a car during the past 12 months for business reasons given that the subscriber rented a car for personal reasons?
In a business venture, a man can make a profit of Ksh2,000Ksh2,000 with a probability of 0.40.4 or have a loss of kshs1,000kshs1,000 with a probability of 0.6.0.6. What is his expected profit?
Example 1 : Find the probability of drawing 2 red balls in succession from a bag containing 4 red and 5 black balls when the ball that is drawn first is (i) not replaced (ii) replaced.
(i) If volume is high this week, then next week it will be high with a probability of 0.9 and low with a probability of 0.1.(ii) If volume is low this week then it will be high next week with a probability of 0.5.Assume that state 1 is high volume and that state 2 is low volume. 1. If the volume this week is high, what is the probability that the volume will be high two weeks from now? 2. What is the probability that volume will be high for three consecutive weeks?
Example 10.13 It has been found that 7 per cent of the tools manufactured by a factory are defective. What is the probability that in a shipment of 625 such tools (a) 8 per cent or more, and (b) 7 per cent or less will be defective?
Question 2 (a) One of the famous fast-food chains in Malaysia has a brand name recognition rate of 95% around the world. If we randomly select 16 people, (i) compute the probability that exactly 13 people recognize the brand. (ii) compute the probability that between 5 and 12 people do not recognize the brand.
Q. 1 Suppose that 4.5% of all adults over 50 have cancer. A certain physician correctly diagnoses 94% of all adults over 50 with cancer as having the disease and incorrectly diagnoses 4% of all adults over 50 without cancer as having the disease. (i) Draw a tree diagram and label it with appropriate probabilities. (ii) Find the probability that a randomly-selected adult over 50 is diagnosed as not having cancer. (iii) Find the probability that a randomly-selected adult over 50 actually has cancer, given that he/she is diagnosed as not having cancer.
In a survey, 45% of the interviewees are of age below 30, 30% are between 30 and 50, and 25% are above 50. 90% of the interviewees aged below 30, 60% of the interviewees aged between 30 and 50, and 70% of the interviewees aged above 50 can swim. (a) If a randomly selected interviewee can swim, find the probability that his/her age is between 30 and 50. (b) If a randomly selected interviewee cannot swim, find the probability that his/her age is below 30.
Example 4.2:- As shown in the table below that gives the age distribution of companies. Find the following probabilities: 1-Ages (30-39). 2-Age=45. 3-Age>50. 4-Age<40. individuals starting new 30 - 39 40- 49 50-59 60 - 69 Age Frequency 20 - 29 11 25 14 3

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