Two machines turn out all the products in a factory, with the first machine producing 40% of the product and the second 60%. The first machine produces defective products 4% of the time and the second machine 7% of the time.(a) What is the probability that a defective part is produced at this factory given that it was made on the first machine?(b) What is the probability that a defective part is produced at this factory?

Answered: Image /qna-images/answer/793859c9-2d23-4c8a-8f18-851d01befd7c.jpg

Answered: Two machines turn out all the products…

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

Three machines turn out all the products in a factory, with the first machine producing 25% of the products, the second machine 25%, and the third machine 50%. The first machine produces defective products 12% of the time, the second machine 20% of the time and the third machine 4% of the time. What is the probability that a non-defective product came from the second machine? (Round your answer to four decimal places.)
Suppose Bob is shooting targets at a booth at the county fair. If he hits the target, he winsa prize. He’s not a particularly good shot, so the probability he hits the target is only 0.3.(a) Suppose he just wants to win one prize for his daughter before going home.What is the probability that he will win a prize in 5 shots or less?(b) Suppose he wants to win two prizes before going home- one for his daughterand one for her friend who came with them. What is the probability that he will wintwo prizes in 5 shots or less?
A and B are two events with p(A) = 0.34, P(B) = 0.36 and P(A and B) = 0.18. Find the conditional probability P(A | B)?
Teams A and B are in a seven-game playoff series; the team that wins four games is the team that wins the series. Assume that both teams are evenly matched (i.e., the probability of winning each game is 50/50). (a) Team A won the first two games. What is the probability that team B will win the series? (b) Continue to assume that Team A has already won two games, but the teams are not evenly matched. Assume that B is a better team. It’s better in that its probability of beating Team A in any one game is .60. What is the probability that Team B will win the series? Pls solve via binomial theorem
Three machines turn out all the products in a factory, with the first machine producing 35% of the products, the second machine 15%, and the third machine 50%. The first machine produces defective products 4% of the time, the second machine 1% of the time and the third machine 20% of the time. What is the probability that a non-defective product came from the second machine? (Round your answer to four decimal places.)
Hi. I need help setting this up for my daughters homework. The question is: Lavon takes a commuter train into the city each day. The train stops every 30 minutes to let passengers on and his ride to the city is 12 minutes long. If he arrives at the stop at 3:00 PM, what is the probability he will get to the city by 3:20 PM?
A factory received a shipment of 9 bolts, and the vendor who sold the items knows there are 3 bolts in the shipment that are defective. Before the receiving foreman accepts the delivery, he samples the shipment, and if too many of the bolts in the sample are defective, he will refuse the shipment. Give answer as a decimal to three decimal places. (a) If a sample of 3 bolts is selected, find the probability that all in the sample are defective. (b) If a sample of 3 bolts is selected, find the probability that none in the sample are defective. Question Help: Video Written Example Message instructor
Three machines turn out all the products in a factory, with the first machine producing 35% of the products, the second machine 25%, and the third machine 40%. The first machine produces defective products 19% of the time, the second machine 11% of the time and the third machine 3% of the time. What is the probability that a non-defective product came from the second machine? (Round your answer to four decimal places.)
A baseballer rikes out 47% of the batters he faces (that is, the probability that he strikes out any given batter correct is .47). (a) In a series of five games, he faces 180 batters. What is the probability that he strikes out exactly 81 batters? (b) In a month, he faces 630 batters. What is the probability that he strikes out 310 or more batters? Now, every day for eternity he faces 100 batters, and records the number he strikes out. (c) Find the mean μ, and the standard deviation σ, of the numbers (of batters he strikes out on different days) that he records.
Every morning a math instructor picks out two socks completely at random from his closet; there's only a 40% chance they match. If they don't match there is a 60% chance his students will laugh at him, while if his socks do match there is only a 20% chance of his students laughing at him. On a given day, what is the probability that his students laugh at him? (A) 0.6 (B) 0.2 (C) 0.36 (D) 0.8 (E) 8.6 (F) 0.08 (G) 0.44 (H) 0.4
Every morning a math instructor picks out two socks completely at random from his closet; there’s only a 40% chance they match. If they don’t match there is a 100% chance his students will laugh at him, while if his socks do match there is only a 20% chance of his students laughing at him. On a given day, what is the probability that his students laugh at him?(A) 0.68 (B) 1.2 (C) 0.2 (D) 0.08 (E) 1 (F) 06 (G) 04 (H) 9

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS