There are two methods, A and B, to teach certain Industrial skills. The failure rate of method A is20% and that of method B is 10%; However, since method B is more expensive, it is applied only30% of the time (the other 70% uses A). One worker received training with one of the methods,but did not learn the skill. What is the probability that she taught with method B?

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Answered: There are two methods, A and B, to…

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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Testing for a disease can be made more efficient by combining samples. If the samples from two people are combined and the mixture tests negative, then bothsamples are negative. On the other hand, one positive sample will always test positive, no matter how many negative samples it is mixed with. Assuming the probability of a single sample testing positive is 0.1,find the probability of a positive result for two samples combined into one mixture. Is the probability low enough so that further testing of the individual samples is rarely necessary? (Round to three decimal places as needed.) Is the probability low enough so that further testing of the individual samples is rarely necessary? A. The probability is low, so further testing will be necessary for all of the combined mixtures. B. The probability is low, so further testing of the individual samples will be a rarely necessary event. C. The probability is not low, so further…
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 store specializing in mountain bikes is to open in one of two malls. If the first mall is selected, the store anticipates a yearly profit of $1,425,000 if successful and a yearly loss of $475,000 otherwise. The probability of success is 1. If the second mall is selected, it is estimated that the yearly profit will be $950,000 if successful; 3 otherwise, the annual loss will be $285,000. The probability of success at the second mall is Complete parts (a) through (c) below 4 - a. What is the expected profit for the first mall?
Your car is making a funny noise. You believe that the problem is either with the wheel or the axle, and you believe the probability is 0.3 that the wheel needs to be replaced, and 0.7 that the axle needs to be replaced. You need to decide whether to replace the wheel or the axle first. The cost of each alternative is given in the following table (if you decided to replace the wrong part first, you have to replace both of them). The Wheel is broken p = 0.3 The Axle is broken p = 0.7 Replace Wheel First Replace Axle First 600 1500 1500 900 a) Find the EV of each decision alternative. Which part should you replace first? b) What is the EVPI?
An airline is considering adding a route to the city of Buffalo, NY. Market research predicts that if the airline serves Buffalo, there is a 32% probability of making a $500,000 profit, a 22% chance of breaking even, and a 46% probability of losing $300,000. What is the expected value of adding a route to Buffalo?
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 a recent year, the percentage of patients at a doctor's office who received a flu shot was 60%. A campaign by the doctors and nurses was designed to increase the percentage of patients who obtain a flu shot. The doctors and nurses believed there was an 80% chance that someone who received a shot in year 1 would obtain a shot in year 2. They also believed that there was a 40% chance that a person who did not receive a shot in year 1 would receive a shot in year 2. Complete parts (a) through (c) below. (a) Give the transition matrix for this situation. Set up the transition matrix P so that the first row and first column represent obtaining a flu shot and the second row and second column represent not obtaining a flu shot. P = (Type an integer or decimal for each matrix element.)
On any given morning here at Chabot College, coffee is brewed in the Science and Math Division workroom by one of two faculty members, depending on who arrives first at work. Instructor Yest arrives first 75% of the time. Instructor Kelly arrives first the remaining mornings. The probability that the coffee is brewed strong when brewed by Instructor Yest is 0.2. The probability that the coffee is brewed strong when brewed by Instructor Kelly is 0.9, as Instructor Kelly likes her coffee strong! Given the coffee is strong on a randomly selected morning, what is the probability that is was brewed by Instructor Yest?
An analyst attempting to predict a corporation’s earnings next year believes that the corporation’s business is quite sensitive to the level of interest rates. He believes that, if average rates in the next year are more than 1% higher than this year, the probability of significant earnings growth is 0.1. If average rates next year are more than 1% lower than this year, the probability of significant earnings growth is estimated to be 0.8. Finally, if average interest rates next year are within 1% of this year’s rates, the probability for significant earnings growth is put at 0.5. The analyst estimates that the probability is 0.25 that rates next year will be more than 1% higher than this year and 0.15 that they will be more than 1% lower than this year.a. What is the estimated probability that both interest rates will be 1% higher and significant earnings growth will result?b. What is the probability that this corporation will experience significant earnings growth?c. If the…

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