You are responsible for quality control for a company that manufactures gizmos. The company owns two manufacturing plants.The old plant is responsble for 35 % of the gizmos produced in a week.Experience has shown that 1.6 % of the gizmos from the old plant are defective, while only 0.7 % from the new plant are defective.For quality control, you selected a random gizmo and found that it was defective. What is the probability that it was produced in thenew plant?

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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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Every year, the vetrinary hospital at a major research university treats a number of horses that have stones called enteroliths in their guts. AS sample of 20 years shows that on average about 2% of horses presenting at the veterinary hospital are treated for enteroliths. Some breeds of horses seem more prone to developing enteroliths than others. Below is a table with the distribution of enteroliths among the breeds. breed Fijian Thoroughbred Morgan Quarter Horse probability 0.4 0.2 0.3 ? The probability that a horse arriving at the veterinary hospital is not a Fijian, Thoroughbred, or a Quarter horse is?
ABC garage replaces brakes and shocks. Eighty-five percent of the automobiles that come in need new brakes and 35% need shocks. An automobile is brought in. What is the probability that the automobile needs both brakes and shocks?
Men who Binge Drink are likely to develop cirrhosis of the liver 60% of time, whereas men who dont binge drink develop cirrhosis of the liver 5% of the time. About 10% of the male population binge drinks. If you learn that a male has cirrhosis, what are the odds that he is a binge drink?
Some electronic devices are better used than new: The failure rate is higher when they are new than when they are six months old. For example, 43.00% of the personal music players of a particular brand have a flaw. If the player has the flaw, it dies in the first six months. If it does not have this flaw, then only 3.000% fail in the first six months. Yours died after you had it for three months. What are the chances that it has this flaw?
Oxnard petri Ltd is buying hurricane insurance for it's off-coast drilling platform. During the next five years, the probability of total loss of only the above-water superstructure ($250 million) is .25, the probability of total loss of the facility ($950 million) is.25, and the probability of no loss is.50. Find the expected loss.( Input the amount as a positive value.) Expected Loss is what?
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?
In automotive repair, experience has shown that a rough - running engine can be attributed to the bad ignition wires 35% of the time, bad spark plugs 80% of the time, and both problems 20% of the time. Suppose a mechanic begins to diagnose the problem by checking the spark plugs first and find them to be bad. Given this information, what is the probability that the wires are also bad?
June is a student taking a statistics course. Unfortunately, June is not a diligent student. She does not read the textbook before or after class, does not do homework, and regularly misses class. She intends to rely on luck to pass the next quiz. The quiz consists of 10 multiple-choice question. Each question has five possible answers. Only one of the answers is correct, so the probability of choosing the correct answer is 0.20. June plans to guess the answer to each question independently. Let � be the number of correct answers on June’s quiz. What is the standard deviation of correct answers for June? Group of answer choices 8 2 1.26 1.14 None of These
candy industries take random samples from their inventory and sort by flavor. daycare center samples a number of those they take care of and sort by how often they cry during a day visit. If you randomly select a candy from the candy sample and a child in daycare from the daycare sample, what is the probability that you'd pick a grape taffy and a child who cries more than twenty times a day?
The M&M/Mars candy company does a lot of market research to determine the most appealing mix of colors in M&M candies. Recently, one mix was: Purple 20%; Yellow 20%; Red 20%; Orange 10%; Green 10%; Blue 10% and Brown 10%. Suppose you reach into a bag of M&M candies and draw out ONE candy at random. What is the likelihood of drawing a Purple candy?
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
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