Two Manufacturers supply food to a large cafeteria. Manufacturer A supplies 40% of the soup served in the cafeteria, while Manufacturer B supplies 60% of the soup that is served. 3% of the soup cans provided by Manufacturer A are found to be dented, while 1% of the cans provided by Manufacturer B are found to be dented. Given that a can of soup is dented, find the probability that it came from Manufacturer B.

Two Manufacturers supply food to a large cafeteria. Manufacturer A supplies 40% of the soup served in the cafeteria, while Manufacturer B supplies 60% of the soup that is served. 3% of the soup cans provided by Manufacturer A are found to be dented, while 1% of the cans provided by Manufacturer B are found to be dented. Given that a can of soup is dented, find the probability that it came from Manufacturer B.

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...

See similar textbooks

Similar questions

A manufacturing company produces two types of smartphones, A and B. 30% of the smartphones produced are type A, while 70% are type B. The defect rate for type A smartphones is 2%, while the defect rate for type B smartphones is 4%. If a customer receives a defective smartphone, what is the probability that it is of type A? Show your calculations and reasoning.
A shipment of 10 microwave ovens contains 3 defective units. A restaurant buys four of these units. What is the probability of the restaurant buying at least three nondefective units? The probability of the restaurant buying at least three nondefective units is? (Round to three decimal places as needed.)
The manager at the local auto shop has found that the probability that a car brought into the shop requires an oil change is 0.65, the probability that a car brought into the shop requires brake repair is 0.35, and the probability that a car requires both an oil change and brake repair is 0.24. For a car brought into the shop, determine the probability that the car will require an oil change or brake repair. The probability that the car requires an oil change or brake repair is (Type an integer or a decimal.)
A production of 20 fuses is received by the store. It is known that 4 of the fuses are defective. The quality control engineer randomly selected three of the fuses from the production run. Find the probability that two of the fuses selected are defective.
A company orders the memory for their devices from two suppliers. Supplier A supplies 82% of the memory while supplier B supplies the remainder. Previous testing has shown that 1.1% of Supplier A's memory is defective and 1.9% of Supplier B's memory is defective. A randomly selected memory chip is defective. Find the probability it came from Supplier B.
rudolph's electronics makes sets of christmas lights. on average, 4% of the bulbs produced by theircupplier will be defective. rudolph samples 300 bulbs from each shipment. if more than 3% of the bulbs aredefective, he refuses the shipment. what is the probability that a given shipment will be accepted?
Enrique buys a bag of cookies that contains 9 chocolate chip cookies, 4 peanut butter cookies, 6 sugar cookies and 5 oatmeal raisin cookies. What is the probability that Enrique randomly selects an oatmeal raisin cookie from the bag, eats it, then randomly selects another oatmeal raisin cookie? (Round your answer to 4 decimal places.)
Brian, a landscape architect, submitted a bid on each of three home landscaping projects. He estimates that the probabilities of winning the bid on Project A, Project B, and Project C are 0.7, 0.5, and 0.2, respectively. Assume that the probability of winning a bid on one of the three projects is independent of winning or losing the bids on the other two projects. Find the probability that Brian will experience the following. (a) Win all three of the bids (b) Win exactly two of the bids (c) Win exactly one bid
Two machines turn out all the paper bags produced in the plant. Machine A produces 38% of the bags and machine B produces 62% of the bags. Machine A produces defective bags 1.9% of the time and machine B produces defective bags 3.8% of the time. Given a defective bag, what is the probability that it came from machine B?
The percentage of people in the population who have a certain disease is 22%. There is a test for the disease that is fairly accurate. Of the people who have the disease who take the test, it reports that 6% of them do not have the disease. Of the people who do not have the disease who take the test, it reports that 6% of them have the disease. Suppose that a person takes the test and it reports that they have the disease. Compute the probability that the person does not have the disease. Round your answer to two decimal places. (If necessary, consult a list of formulas.) 0 X Ś
Customers are used to evaluate preliminary product designs. In the past, 95% of highly successful products received good reviews, 40% of moderately successful products received good reviews, and 10% of poor products received good reviews. In addition, 40% of products have been highly successful, 35% have been moderately successful, and 20% have been poor products. What is the probability that a product attains a good review? If a new design attains a good review, what is the probability that it will be a highly successful product? O a. 0.460, 0.620 O b.0.585, 0.615 OC. NONE O d. 0.540, 0.704
A gas station has three grades of fuel, regular, premium and diesel. Due to problems with the supply chain, the probabilities that the station will run out of any three fuel types in a week are 0.10, 0.16 and 0.24, respectively. These probabilities are statistically independent. Also, if there is a shortage of diesel, the probability of a shortage of premium becomes 0.25. 1. How likely is the station to run out of all three fuels in a given week? 2. What is the probability that if regular runs out, both premium and diesel will also run out? 3. What is the probability that the station will run out of at least one of either premium and diesel? 4. What is the probability that the station will run out of at least 2 of the fuels in a week?