Question: 1. In A Factory, There Are Three Machines Which Account For25%, 35%, And 40% Percentages Of Productions. The Machines Have...1. In a factory, there are three machines which account for 25%, 35%, and 40% percentages ofproductions. The machines have probabilities of 5%, 4%, and 2% in producing defective products.Suppose we have picked up a product. What's the probability of the event that the product isdefective? What's the most likely machine that produced the defective product?

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Answered: Question: 1. In A Factory, There 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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A rice importer has three sources: Thailand, Vietnam, and China. Unfortunately, the annual amount of rice harvested is heavily dependent upon the amount of rainfall during the growing season. The tables below show probabilities and prices for wet, dry, and normal growing seasons. Rice is sold in tons. PROBABILITIES Wet Dry Normal Thailand 0.5 0.2 0.3 Vietnam 0.6 0.3 0.1 China 0.4 0.4 0.2 Price per Pound ($) Wet Dry Normal Thailand 0.95 1.10 1.00 Vietnam 0.85 1.20 0.98 China 0.90 1.15 1.05 Which country offers the best rice price?
3. A construction company submits bids for two projects. Listed in Table 1 are the profit and probability of winning each project. Assume that the outcomes of the two bids are independent. Profit $75,000 Project A Project B $120,000 Chance of Winning Bid 0.50 0.65 Table 1: Projects, Bids, and Profits (a) List the possible outcomes (win/not win) for the two projects and find their probabilities. (b) Let X denote the company's total profit out of the two contracts. Determine the probability distribution of X. (c) If it costs the company $2000 for preparatory surveys and paperwork for the two bids, what is the expected net profit?
In a certain office, six men determine who will pay for coffee by each flipping a coin. If one of them has an outcome that is different from the other five, he must pay for the coffee. What is the probability that in any of the game there will be an "odd man out"? a. 0.1875 b. 0.1125 c. 0.0188 d. 0.1313 e. 0.0750
Example 8 : A businessman goes to hotels X, Y, Z, 20%, 50%, 30% of the time respectively. It is known that 5%, 4%, 8% of the rooms in X, Y, Z hotels have faulty plumbings. 6. Tespectively. It is known that 5%, 4%. 8% of the rooms in X. Y.Zhotels have faulty plumbn What is the probability that business man's room having faulty plumbing is assigned to nor n1
A shop keeper sells three models of televisions A, B and C.Sale of model A is 40% of which 3% are with stereo.Sale of model B is 40% of which 7% are with stereo.Sale of model C is 20% of which 9% are with stereo.What is the probability that a randomly sold television is with stereo?
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…
Insurance. By examining the past driving records of drivers in a certain city, an insurance company has determined the following (empirical) probabilities: If a driver in this city is selected at random, what is the probability that a. He or she drives less than 10,000 miles per year or has an accident? (Type a decimal.) Accident No Accident Totals C Less than 10,000, M₁ .05 .20 .25 Miles Driven per Year 10.000- 15,000 inclusive, M₁₂ 15 .15 .30 More than 15,000, M₂ 15 .30 .45 Totals .35 .65 1.0
subject:business finance
Diane has decided to play the following game of chance. She places a $1 bet on each repeated play of the game in which the probability of her winning $1 is .4. She has further decided to continue playing the game until she has either accumulated a total of $3 or has lost all her money. What is the probability that Diane will eventually leave the game a winner if she started with a capital of $1? Of $2? capital of $1 capital of $2
Police plan to enforce speed limits by using radar traps at four different locations within the city limits. The radar traps at each of the locations L1, L2, L3, and L4 will be operated 40%, 30%, 20%, and 30% of the time. If a person who is speeding on her way to work has probabilities of 0.2, 0.1, 0.5, and 0.2, respectively, of passing through these locations, what is the probability that she will receive a speeding ticket?
Two events A and B have the following probabilities: P (A) = 0.4, P (B)= 0.5, and P (A and B) = 0.3. Find P( B and AC). Select one: a. 0.25 О Б. 0.7 c. 0.35 d. 0.2
Suppose that medical science has a cancer-diagnostic test that is 95% accurate on both those who do and those who do not have cancer. If 0.005 of the population actually has cancer, compute the probability that a particular individual has cancer, given that the test detected cancer.

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