Suppose in certain semiconductor company, two machines, M1 and M2 make 40% and 60%, respectively, of the products. Basing on the previous productions, 2% and 3% of the products made by each machine, respectively, are defective. If a finished product from these machines is selected randomly, what is the probability that it is defective?

Suppose in certain semiconductor company, two machines, M1 and M2 make 40% and 60%, respectively, of the products. Basing on the previous productions, 2% and 3% of the products made by each machine, respectively, are defective. If a finished product from these machines is selected randomly, what is the probability that it is defective?

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

1. A beverage manufacturing company uses a pair of redundant pumps to transfer flavored syrups to the bottling line. Each pump has a À of 0.055 failures per year and ß of 0.05. What is the probability that both pumps will fail during a 45 day production run? a. 0.00004 b. 0.00034 c. 0.00038 d. 0.12
1. The basketball coach says that based on Noah's free throws this season, Noah has a 3/4 probability of making each free throw. Select all the ways Noah could accurately simulate the number of free throws he will make in his next 6 attempts. *
4. Neo notices that a glitch in the matrix occurs an average of 3.3 times per week. He also sees that 31% of all cats are black. Last week, he saw 39 cats. Here, assume that a observing a glitch in the matrix and seeing a black cat are independent events. а. What is the probability of Neo seeing more than 3 black cats and noticing at most one glitch in the matrix last week? b. What is the probability of Neo seeing fewer than 22 black cats?
1. In a class of ten students, three wear eyeglasses. If two students are selected at random, what is the probability that: a. One wears eyeglasses b. At least one wears eyeglasses c. Neither of the two wears eyeglasses 2. In November 1994, Intel announced that a subtle flaw in its Pentium chip would affect 1 in 9 billion division problems. Suppose a computer perform 20 million divisions in the course of a particular program, what is the probability of no error? 3. A group is composed of 10 students with 6 men and 4 women. a. Determine the number of ways that we can choose committee of 4. b. Determine the number of ways that we can choose committee of 4 composed of 2 men and 2 women. c. Determine the number of ways that we can choose one president, one vice president, one secretary, and one treasurer from the rest. 4. Given the following digits: 2, 3, 5, 6, 7, 9, a. How many 3-digit number combinations can be made out from the given numbers if repetition is not allowed? b.…
A WAL*MART manager has five good light bulbs and four defected light bulbs in Box 1 and four good light bulbs and five defected light bulbs in Box 2. If the manager transfers one light bulb at random from Box 1 to Box 2, what is the probability of his then drawing a good light bulb from Box 2? (Round to four decimal places. Do not use %)
5
1.) An archer can hit the bullseye of a target with an accuracy rate of 83%. Arrows hitting the bullseye are independent of each other. The archer is about to take 6 shots. Let X = the number of arrows (out of 6) that hit the bullseye. Describe the shape of the distribution, center, and spread of the distribution of X.
suppose that a finished product is randomly selected. What is the probability that 25%, respectively, of the products. It is known from past experience that 2%, 3%, and 2% of the products made by each machine, respectively, are defective. Now, In a certain assembly plant, three machines, B1, B2, and B3, make 30%, 45%, and and 2% of the products made by each machine, respectively, it is defective?
5. A distributed system contains 4 computers. What is the probability of its failure in one year, if probability of failure of the computers in this period are 0.1, 0.2, 0.3, 0.4?
1. Assume your computer network may have been hacked and computers may have 2 different types of viruses (virus type-A and virus type-B). The current situation shows that 15% of computers end up with type-A virus, 10% end up with type-B virus, and 10% of the computers infected with type-A or type-B virus have both viruses. 1.a) Compute the probability that a computer is infected with both viruses 1.b) Compute the probability that a computer has type-B virus given that it has type-A virus