Example 8.28 Two computers A and B are to be marketed. A salesman who is assigned a job of findingcustomers for them has 60 per cent and 40 per cent chances respectively of succeeding in case ofcomputers A and B. The computers can be sold independently. Given that he was able to sell at leastone computer, what is the probability that the computer A has been sold?

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Answered: Example 8.28 Two computers A and B are…

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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According to a recent article from the New York Journal of Medical Stuff, 6.3% of citizens suffer from Diabetic problems, 5.2% suffer from Covid-19 problems, and 4% suffer from both Diabetic and Covid- 19. What is the probability that the citizen suffers from Diabetic or Covid-19 problems? O a. 0.075 O b. 0.21 O c. 0.051 O d. 0.75
4. The marketing department in the computer company is studying the pattern of the stores’ orders for better understanding of the customers’ needs. Some of the study findings are:50% of the customers buy hardware products, while 50% buy software products.There is a 40% probability that a customer is interested in computer gaming, if he/she buys a hardware product.The probability that a customer buys a software product and is a computer programs developer is 30%. Based on this information, find the following:The probability that a random customer is interested in computer gaming and buys hardware products.The probability that a random customer is a computer programs developer if they buy software products.The probability that 6 out of the next 11 new customers are buying hardware products. Consider that the company income follows a normal distribution with average =10,000 $, and standard deviation= 2000 $: Calculate the probability that the company income for October will be above…
Suppose that a group of illegal counterfeiters print 1,000 copies of fake $20 bills and introduces them into the economy. Suppose that each bill is used once per week (starting in week 1), and that each time a bill is used, it has a 1 in 5 chance of being detected as fake. If it is detected, it is removed. If not, it is used again.
Suppose that Art can decide to go to work by one of three modes of transportation, car, bus, or commuter train. Because of high traffic, if he decides to go by car, there is a 50% chance he will be late. If he goes by bus, which has special reserved lanes but is sometimes overcrowded, the probability of being late is only 20%. The commuter train is almost never late, with a probability of only 5%, but is more expensive than the bus. Suppose that Art is late one day, and his boss wishes to estimate the probability that he drove to work that day by car. Since he does not know which mode of transportation Art usually uses, he gives a prior probability of 1/3 to each of the three possibilities. What is the boss’ estimate of the probability that Art drove to work? Suppose that a coworker of Art’s knows that he almost always takes the commuter train to work, never takes the bus, but sometimes, 10% of the time takes the car. What is the co-workers probability that Art drove to work that day,…
1. Researchers are interested in the relationship between vaping and upper respiratory infections. Suppose that 15% of their population of interest has vaped in the past year and 25% have had an upper respiratory infection in the past year. In addition, they know that 10% have both vaped and had an upper respiratory infection in the past year. What percent of the population has neither vaped nor had an upper respiratory infection in the past year? b. What is the probability of having an upper respiratory infection in the past year given that the person has vaped in the past year? What is the complement of the event in part b)? Be sure to interpret this probability in the context of the problem. a. C. d. What is the probability of having an upper respiratory infection in the past year given that the person has not vaped in the past year? Are the two events independent? Be sure to justify your answer. Based on your calculations what can you conclude about the relationship between vaping…

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