Industry A is responsible for producing 60% of cements in Lebanon while Industry Bproduces the other 40%.Among the production of A. 90% of the cement passes the quality control, and 85%cements produced by the industry B passes the quality control.Find the probability that the cement is produced by industry B given that it passes thequality control test.

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Answered: Industry A is responsible for producing…

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

On the first day of music class, students submitted a survey. One survey question asked students to report which music genre they prefer. Another question asked students how frequently they sing in the shower. The probability that a student prefers metal is 0.7, the probability that a student sings in the shower 1-2 times a week is 0.4 and the probability that a student prefers metal and sings in the shower 1-2 times a week is 0.3. What is the probability that a randomly chosen student prefers metal or sings in the shower 1-2 times a week?
At a local high school, 15% of the students have blue eyes. Each day, 9% of the blue-eyed students wear sunglasses on their way to school, while only 2% of the students with non-blue eyes wear sunglasses. Find the probability that a randomly selected student has blue eyes given that they wore sunglasses on their way to school.
A study tracked a large group of people for 10 years. At the start of the study, 20% were heavy smokers (H), 30% were light smokers (L), and 50% were non-smokers (N). The interest of the study was whether the people in the study died during the study (D) or not die (Dc ). The probability that a light smoker died during the study was twice that of the probability of a non-smoker dying. Also, the probability that light smoker died during the study was half that of the probability of a heavy smoker dying. A randomly selected person from the study died during the study. What is the probability that this person was a heavy smoker (given they died, what is the probability they were a heavy smoker H)?
A local jam production company is confident that 60% of the population will like its new grapefruit jelly. If 200 persons taste the new grapefruit jelly, determine the number of persons who are expected to like it. From a random sample of 10 persons who tasted the new grapefruit jelly, calculate the probability that less than two will like it.
A web server's visit always comes from five sites. The percentages of known visits from sites 1, 2, 3, 4 and 5 are 20%, 30%, 15%, 10% and 25% respectively. The probability of visits from five sites lasting more than 2 minutes is 0.4, 0.6, 0.8, 0.2 and 0.9 respectively. Now randomly select a visit. What is the probability that the visit lasts more than 2 minutes? If the selected visit last more than 2 minutes, which sites does it most likely come from?
high blood pressure has been identified as a risk factor for heart attacks and strokes. The proportion of U.S. adults with high blood pressure is 0.4. A sample of 83 U.S. adults is chosen, Find the probability that more than 41% of the people in this sample have high blood pressure.
A project has a 60% of super success earning $50,000, a 15% chance of mediocre success earning $20,000, and a 25% probability of failure losing $30,000. What is the EMV of the project?
A survey found that 40% of Dynamic Housing’s potential customers viewed the single-family house virtual tours and of those that viewed the virtual tours 3% leased a single-family house. What is the probability that a potential customer will view the virtual tour and lease a single-family house.
A manufacturer makes two models of an item: model I, which accounts for 75% of unit sales, and model II, which accounts for 25% of unit sales. Because of defects, the manufacturer has to replace (or exchange) 5% of its model I and 10% of its model II. If a model is selected at random, find the probability that it will be defective. Please round the final answer to 2 or 3 decimal places. P(detective)=
Suppose that more than a decade ago high levels of lead in the blood put 82% of children atrisk. A concerted effort was made to remove lead from the environment. Suppose, accordingto a survey, only 9% of children in the United States are at risk of high blood-lead levels. In arandom sample of 100 children taken more than a decade ago, what is the probability that 70or more had high blood-lead levels? Group of answer choices 0.867 0.839 1.000 0.000 0.117
For any day in July, there is a 20% chance of rainfall. An engineering construction company plans to cast a slabthat requires no rainfall during its casting period extending over 5 days. What is the probability of having no rainfallduring the casting period and one rainy day during the casting period?

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