A building contractor buys 70% of his cement from supplier A and 30% from supplier B. A total of 75% of the bags from A arrive undamaged, while 80% of the bags from B arrive undamaged. Find the probability that an undamaged bag is from supplier A. The probability is (Type an integer or decimal rounded to four decimal places as needed.)

A building contractor buys 70% of his cement from supplier A and 30% from supplier B. A total of 75% of the bags from A arrive undamaged, while 80% of the bags from B arrive undamaged. Find the probability that an undamaged bag is from supplier A. The probability is (Type an integer or decimal rounded to four decimal places as needed.)

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...

See similar textbooks

Similar questions

Benjamin attended his town's annual Worm Charming Competition. Contestants are assigned to a square foot of land, where they have 30 minutes to "charm" worms to the surface of the dirt using a single technique. Benjamin observed contestants' charming techniques, and kept track of how many worms surfaced. The probability that a contestant tried singing into the ground is 0.5, the probability that a contestant charmed 21- 30 worms is 0.2 and the probability that a contestant tried singing into the ground and charmed 21-30 worms is 0.1. What is the probability that a randomly chosen contestant tried singing into the ground or charmed 21-30 worms?
Suppose that you have two quarters, one dime and three nickels in your pocket. You randomly select two coins one after another without replacement from your pocket. Find the probability that the first coin is a nickle given that the second coin is a quarter.
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
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.
The probability that a certain kind of component will survive a shock test is ¾. Find the probability that exactly 3 of the next 4 components tested survivebability that a certain kind of component will survive a shock test is ¾. Find the probability that exactly 3 of the next 4 components tested survive
The probability of a student at a university eating breakfast on campus is 0.2413. If one afternoon 9 students are chosen at random. Find the probability that at least 2 of them had eaten their breakfast in college.
At a used-book sale, 106 books are adult books and 150 are children's books. Of the adult books, 72 are nonfiction, while 65 of the children's books are nonfiction. If a book is selected at random, find the probability of selecting the books for the following. Round the answers to three decimal places. a. Fiction b. Not a children’s nonfiction book c. An adult book or a children’s nonfiction book
Wes and his friend Anderson are taking a picture with 6 other people standing in a row. Find the probability that: a. Wes is standing at one end and Anderson at the other b. Wes and Anderson will be standing consecutively (in either order)
The probability that it will snow in a city in December is 0.4 a. find the probability that it will not snow on a given day b. find the probability that it will snow on two consecutive days.
John can take one of two highways, Interstate A and Interstate B, to get to work each day. The probability that there will be a traffic jam on Interstate A on a given day is 0.65, and the probability that there will be a traffic jam on Interstate B is 0.2. The probability that there will be a traffic jam on at least one of Interstate A or Interstate B is 0.8. Determine the probability that both Interstate A and B will be congested. 0.235 None in the list 0.050 0.062 0.765 Submit Answer Tries 0/3 Determine the probability that Interstate B is congested given that Interstate A is congested. 0.250 0.077 0.812 0.062 None in the list Submit Answer Tries 0/3 Determine the probability that there is a traffic jam on Interstate A given that at least one of the Interstates has a traffic jam. 0.062 None in the list 0.250 0.812 0.077