Q6 A paint-store chain produces and sells latex and semi-gloss paint. Based on long-range sales,the probability that a customer will purchase latex paint is 0.75. Of those that purchase latexpaint, 60% also purchase rollers. But only 30% of semi-gloss paint buyers purchase rollers. Arandomly selected buyer purchases a roller and a can of paint; calculate the probability that thepaint is latex.(6 marks)

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Answered: A paint-store chain produces and sells…

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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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
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To get to know her students better, Ms. Jackson surveyed her maths students to determine what hobbies and school subjects they prefer. The probability that a student enjoys skateboarding is 0.4, the probability that a student prefers health is 0.8 and the probability that a student enjoys skateboarding and prefers health is 0.3. What is the probability that a randomly chosen student enjoys skateboarding or prefers health?
On average dog bite victims arrive at Carver Memorial Hospital at a rate of 2 victims per day. Which probability distribution is most nearly appropriate to describe the number of dog bite victims who arrive at this hospital on a given day?
Of the patients at a cardiac rehabilitation centre, 36% lead a sedentary lifestyle and have had a heart attack. If 78% of the patients lead a sedentary lifestyle, find the probability that a randomly selected patient has had a heart attack, given that he or she leads a sedentary lifestyle. Answer:
You are interested in the number of people that will visit your restaurant in the noon hour. Historically, there is a 10% chance that more than 10 customers will visit, a 30% chance that more than 8 customers will visit, a 50% chance that more than 6 customers will visit, a 80% chance that more than 4 customers will visit, and a 95% chance that at least 2 customers will visit during the noon hour. What is the probability that 4 or less customers will visit the restaurant -- the number required to break even financially for the day?Express your answer as a percent value. So if your answer is 100% for example, enter 100. Round your answer to the nearest percent.
The professor has taught basic statistics for several years. He knows that 80% of the students will finish the assigned problems. Also that among those who do their homework, 90% will pass the course. Among those who do not do their homework, 60% will pass the course. A student He took statistics last semester with the professor and passed. Which is the probability that you have completed your tasks?
Sixteen percent of all sports cars are painted red. Given a random sample of 250 sports cars, find the probability that exactly 31 of them will be painted red.
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