A building contractor buys 60% of his cement from supplier A and 40% from supplier B. A total of 75% of the bags from A arrive undamaged, while 70% of the bags fromB arrive undamaged. Find the probability that an undamaged bag is from supplier B.The probability is(Type an integer or decimal rounded to four decimal places as needed.) For mutually exclusive events R,, R2, and R3, we have P(R,) = 0.05, P(R,) = 0.4, and P(R3) = 0.55. Also, P(Q | R,) = 0.6, P(Q | R2) = 0.7, and P (Q |R3) = 0.6. FindP(R3 I Q).P(R3 IQ) =D(Type an integer or a simplified fraction.)

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Answered: A building contractor buys 60% of his…

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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An earth-conscious clothing store offers a 15% discount if you bring in a bag full of old clothing to recycle the fabric. The probability that each bag brought in will contain fabric that can actually be recycled is 69%. In a given day, if there are 20 bags of fabric brought in to recycle, calculate the following: Round each answer to 4 decimal places. The probability that at least 9 bags will contain fabric that can be recycled
A cookie is selected at random from a basket containing 10 peanut butter cookies, 8 caramel cookies, 12 sugar cookies, and 20 mint cookies. Find the probability that a peanut butter cookie is selected.
Tom buys a bag of cookies that contains 9 chocolate chip cookies, 9 peanut butter cookies, 4 sugar cookies and 7 oatmeal raisin cookies. What is the probability that Tom randomly selects a chocolate chip cookie from the bag, eats it, then randomly selects another chocolate chip cookie? Express your answer as a reduced fraction.
A pharmacist receives a shipment of 20 bottles of a drug and has 4 of the bottles tested. If 4 of the 20 bottles are contaminated, what is the probability that more than 1 of the tested bottles is contaminated? Express your answer as a fraction or a decimal number rounded to four decimal places.
A building contractor buys 65% of his cement from supplier A and 35% from supplier B. A total of 85% of the bags from A arrive undamaged. While 93% of the bags from B arrive undamaged. Find the probability that a damaged bag is from supplier B.
A building contractor buys 70% of his cement from supplier A and 30% from supplier B. A total of 70% of the bags from A arrive undamaged, while 90% of the bags from B arrive undamaged. Find the probability that an undamaged bag is from supplier B. The probability is nothing. (Type an integer or decimal rounded to four decimal places as needed.)
At bedtime, you read three books to your kids, Walker, Michael, and Luke. Together, they have 32 books. If you decide to randomly choose three books, what is the probability that the three you choose will consist of each of their favorite books? Assume they have different favorites. Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
Jack has just been given a ten-question multiple choice quiz in history class. Each question has five answers, of which only one is correct. Since Jack has not attended class recently, he does not know any of the answers. Assuming Jack guesses randomly on all ten questions, find the probability that he will answer six or more of the questions correctly and avoid an F.
Find the probability that when a gardener plants 20 seeds, she harvests 16 radishes given the probability that a radish seed will germinate is 0.5
Skyler buys a bag of cookies that contains 8 chocolate chip cookies, 5 peanut butter cookies, 8 sugar cookies and 9 oatmeal raisin cookies. What is the probability that Skyler randomly selects a sugar cookie from the bag, eats it, then randomly selects another sugar cookie? Express your answer as a reduced fraction.
Q10. Given that the switchboard of a consultant's office receives on average 0.8 calls per minute, find the probability that in a 5-minute interval there will be exactly 4 calls, and in the following 4- minute interval, there will be exactly 1 call. (Consider the entire 9 minute interval to calculate your answer.)
b. In how many different ways can the letters of the word “Karachi” be arranged such that the vowels always come together.

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