tput, while machine B produces 90% of the daily output. Of their output, 10% and 2% of their output are defective, respectively. a. A box of 30 screws is chosen at random from a day’s production and found one of them to be defective. What is the probability that this box came from machine A? b. A screw is chosen at random from a day’s production and found to be defective. What is the probability that it came from machine A? c. What is the probability of defective product of this fa

tput, while machine B produces 90% of the daily output. Of their output, 10% and 2% of their output are defective, respectively. a. A box of 30 screws is chosen at random from a day’s production and found one of them to be defective. What is the probability that this box came from machine A? b. A screw is chosen at random from a day’s production and found to be defective. What is the probability that it came from machine A? c. What is the probability of defective product of this fa

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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In a screw factor, there are two machines. Machine A and B that produce screws. Machine A produces 20% of the daily output, while machine B produces 80% of the daily output. Of their output, 10% and 2% of their output are defective, respectively. A box of 30 screws is chosen at random from a day's production and found one of them to be a. defective. What is the probability that this box came from machine A? A screw is chosen at random from a day's production and found to be defective. What is the probability that it came from machine A? b. C. What is the probability of defective product of this factory? th Quality assurance employee start testing a group of screws, what is the probability that the 4 screw will be defective?
In a screw factor, there are two machines. Machine A and B that produce screws. Machine A produces 10% of the daily output, while machine B produces 90% of the daily output. Of their output, 2% and 10% of their output are defective, respectively. A box of 30 screws is chosen at random from a day's production and found one of them to be а. defective. What is the probability that this box came from machine A? b. A screw is chosen at random from a day's production and found to be defective. What is the probability that it came from machine A? C. What is the probability of defective product of this factory? th Quality assurance employee start testing a group of screws, what is the probability that the 4 screw will be defective?
ag I contains 2 White chips and 1 red chip and Bag II contains 2 red chips and one white chip. A chip is selected at random from g I and transferred to Bag II. Then a chip is selected at random from Bag II. If the selected chip is red, what is the probability that e transferred chip was white? 317 B 2/3 O 1/3 4/7
Urn A has 3 white and 9 red balls. Urn B has 15 white and 13 red balls. We flip a fair coin. If the outcome is heads, then a ball from urn A is selected, whereas if the outcome is tails, then a ball from urn B is selected. Suppose that a white ball is selected. What is the probability that the coin landed heads? 0.30
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?
With regards to a particular gene, the percentage of genotypes AA, Aa, and aa in a particular population are respectively, 60%, 30%, and 10%. Furthermore, the percentages of these genotypes that contract a certain disease are respectively. 1%, 5% and 20%. If a person does contract the disease, what is the probability that the person is of genotype AA?
1. The picture's river has floodgates at points A, B, C and D. The probabilities of each of the floodgates being open (a requirement for water to pass through) are the following: A: 94%, B : 96%, C: 91%, D: 97% The probabilities of the floodgates being open are independent. What is the probability that the water from the leftmost point in the picture will reach the sea on the right? C D B THE SEAL
Example 2.1 260 bolts are examined as they are produced. Five of them are found to be defective. On the basis of this information, estimate the probability that a bolt will be defective.