Three machines turn out all the products in a factory, with the first machine producing 25% of the products, the second machine 25%, and the third machine 50%. The firstmachine produces defective products 9% of the time, the second machine 14% of the time and the third machine 18% of the time. What is the probability that a non-defectiveproduct came from the second machine? (Round your answer to four decimal places.)

Let A denote the event that the product came from machine 1, B denote the event that the product…

Answered: Three machines turn out all the…

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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Pretend you and your friend are gunners in a science fiction space game. You and your fellow gunner each have one shot to take out an incoming missile before it hits the ship. Your counter-missile station has a 10% success rate, while the other has a 20% success rate. What is the probability that at least one of you will hit the missile?
P(A)=.280 P(B)=.360 P(A and B)=.200 P(C)=.200 Calculate the probability of event A or B
Charlie buys a one-year term home insurance policy for $p, that will pay $200,000 in the event of a major catastrophe and $35,000 in the event of a minor catastrophe. Charlie's home has a 0.2% chance of a major catastrophe and a 0.7% of a minor catastrophe during the one year term. What did the insurance company charge Charlie for this policy if the company expected to break even?
You are an analyst for a consumer products company. You run a survey of 1000 customers and find that 80% of customers use gel packs for laundry detergent (the rest use liquid or powder) and 40% of customers use gel packs for their dishwasher detergent (the rest use liquid or powder). You also learn that twice as many customers use laundry detergent than dishwasher detergent.
The college student senate is sponsoring a spring break Caribbean cruise raffle. The proceeds are to be donated to the Samaritan Center for the Homeless. A local travel agency donated the cruise, valued at $2000. The students sold 2374 raffle tickets at $5 per ticket. Kevin bought thirty-four tickets. What is the probability that Kevin will win the spring break cruise to the Caribbean? (Round your answer to five decimal places.)What is the probability that Kevin will not win the cruise? (Round your answer to five decimal places.) Expected earnings can be found by multiplying the value of the cruise by the probability that Kevin will win. What are Kevin's expected earnings? (Round your answer to two decimal places.)$ Is this more or less than the amount Kevin paid for the thirty-four tickets? How much did Kevin effectively contribute to the Samaritan Center for the Homeless? (Round your answer to two decimal places.)$
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?
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Q: If 5% of the people are carriers of a certain disease and 10% of them are young, what is the probability that the young person will be a carrier? For disease if we know that young people make up 20% of the population?
You purchase a brand new car for $15,000 and insure it. The policy pays 78% of the car's value if there is an issue with the engine or 30% of the car's value if there is an issue with the speaker system. The probability of an issue with the engine is 0.009, and the probability there is an issue with the speaker system is 0.02. The premium for the policy is p. Let X be the insurance company's net gain from this policy. (a) Create a probability distribution for X, using p to represent the premium on the policy. Enter the possible values of X in ascending order from left to right. P(X) (b) Compute the minimum amount the insurance company will charge for this policy. Round your answer to the nearest cent
You are playing a game of dice where it involves rolling three dice and betting on one of the six numbers that are on the dice. The game costs P80 to play. You win P160 if the number you bet appears on only one dice, P180 if on two dice and P320 if on all three. What is your expected profit from the game? Select one: O a.-P10.50 O b. P35.80 C. P23.25 d. P85.00 O e. -P63.25
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