Suppose that the manufacturing company uses an acceptance scheme on production items before they are shipped. Under the scheme an inspector takes one at random, inspects it, and then replaces it in the box; a second inspector does likewise. Finally, a third inspector goes through the same procedure. The box is not shipped if any of the three find a defective one. What is the probability that a box containing 3 defectives will be shipped?

Suppose that the manufacturing company uses an acceptance scheme on production items before they are shipped. Under the scheme an inspector takes one at random, inspects it, and then replaces it in the box; a second inspector does likewise. Finally, a third inspector goes through the same procedure. The box is not shipped if any of the three find a defective one. What is the probability that a box containing 3 defectives will be shipped?

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

Zeynep plans to invest in Company 1, 2, 3, 4, 5 or 6.An investment is classified to be either a good investment or a bad investment.
How do we do in excel
Kevin is playing basketball with joy. Based on existing experience, kevin generally managed to make 8 free throws out of 10 throws. Unlike Kevin, generally joy only managed to make 3 free throws out of 10 throws. That afternoon, the two of them competed with each other for free throws. If it is assumed that both Kevin and Joy are free throws and have an equal chance of entering the ring, a. What is the probability that out of 5 free throws made by Joy, only two make it into the ring? b. What is the probability that Kevin's third throw is a free sheet that goes into the ring? c. What is the probability that Joy's sixth throw is the second free throw that makes it into the ring?
Composite blood testing is sometimes used to save costs. A Hepatitis-C composite blood test means that when several blood samples are mixed together and tested for Hepatitis- C. The probability of testing positive for Hepatitis-C in a certain population is 0.490. If 4 bloodsamples are mixed together, what is the probability that composite sample would be positive (in other words, what is the probability that at least one of the people in the group is positive for Hepatitis-C)?
In a shipment of 18 trucks to a local truck dealer, there are four trucks that don't have air conditioning. Assume that you select four trucks at random. What is the probability that two or fewer of the four don't have air conditioning?
Bag 1 contains 8 gray rocks and 5 black rocks, and Bag 2 contains 9 gray rocks and 4 black rocks. Suppose we flip a fair coin. If the result is heads, we randomly select a rock from Bag 1; if the result is tails, we randomly select a rock from Bag 2. Suppose that a gray rock was selected. What is the probability that the rock came from Bag 1?
We have two boxes, box A (6 blue marbles and 8 red marbles) and box B (6 blue marbles and 2 red marbles). We randomly pick one box, and randomly pick a marble from it. If the marble we picked was red, what is the probability that we drew from the first box?
Urn A has five mauve marbles, seven burnt sienna marbles, and three puce marbles. Urn B has seven mauve marbles, two burnt sienna marbles, and three puce marbles. First, a random marble is transferred from Urn A to Urn B. Then two marbles are drawn from Urn B simultaneously. What is the probability that the two marbles are the same color?
Suppose that people who own a Numberkrunch computer for home use will purchase another NumberKrunch with a probability of 0.6 and will switch to a QuickDigit computer with a probability of 0.4. Those who own a QuickDigit will purchase another with probability 0.7 and switch to a NumberKrunch with a probability of 0.3. Find the probability that if a person has a Numberkrunch computer, two computer purchases later he or she will also buy a NumberKrunch computer. The probability is (Type an integer or a decimal) ETTE
a. What is the probability of seeing positive change? b. What is the probability of seeing positive change given that the tree is oak? c. Do the data suggest effect and tree type are independent events? yes or no