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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At a bakery, a customer with a purchase amount of under $20 has a probability of 0.35 of using a credit card for the purchase, while a customer with a purchase amount of $20 or over has a probability of 0.6 of using a credit card for the purchase. Data shows that 80 % of purchases at the bakery are under $20. Given that a customer uses a credit card for a purchase, find the probability that the purchase amount was $20 or over. Give the probability as a decimal, and if rounding give to 4 decimal places.
in a box of pens and pencils, the probability of randomly choosing a sharpened pencil is 0.54 and pens is .39, what is the probability of choosing an unsharpened pencil or a pen
Every summer, Madison goes on a week- long canoe trip with her childhood camp friends. After the trip, she usually purchases some oars from the destination city. Her collection of oars is organised by year and type of wood. The probability that an oar was purchased in 2013 is 0.4, the probability that it was made from spruce wood is 0.4 and the probability that it was purchased in 2013 and was made from spruce wood is 0.1. What is the probability that a randomly chosen oar was purchased in 2013 or was made from spruce wood?
We are interested in analyzing data related to college football. Use S to denote the team is in the SEC and use W to denote a team has a winning season. The probability that a team is in the SEC in the data set is 5.5%. The probability that a team has a winning season is 52.5%. The probability that a team is in the SEC and has a winning season is 3.55%. What percentage of teams are in the SEC or had a winning season? b. What percentage of people teams are in the SEC and did NOT have a winning season? Given a team had a winning season, what is the probability that they are in the SEC? а. с.
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
The probability that a homeowner owns a Blu-ray player is 0.50. The probability that a homeowner owns a wide-screen TV is 0.20. If a homeowner owns a wide-screen TV, the probability that they own a Blu-ray player is 0.70. What is the chance that a randomly selected homeowner owns both a wide-screen TV and a Blu-ray player?
A local jam production company is confident that 60% of the population will like its new grapefruit jelly. If 200 persons taste the new grapefruit jelly, determine the number of persons who are expected to like it. From a random sample of 10 persons who tasted the new grapefruit jelly, calculate the probability that less than two will like it.
About 2.5% of Canadians have blood type AB. If 25 Canadians are selected randomly, ving. The exact probability that less than 2 have blood type AB. The exact probability that 23 have blood type other than AB. The approximate probability that at least one has blood type AB.
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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