Two machines produce the same type of product. The older machine produces 35% of the total output but eight in every hundred are normally defective. The newer machine produces 65% of the total output and two in every hundred are normally defective. Determine the probability that a defective product picked at random was produced by the older machine.

Two machines produce the same type of product. The older machine produces 35% of the total output but eight in every hundred are normally defective. The newer machine produces 65% of the total output and two in every hundred are normally defective. Determine the probability that a defective product picked at random was produced by the older machine.

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

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.
In the US Congress, the Senate consists of 13 women and 87 men. The President randomly selects members of the Senate to sit in on his meetings. What is the probability of selecting 3 consecutive women? After selecting each person, you do not place them back in the selection pool.
A bag contains 4 red and 3 black balls. A second bag contains 2 red and 4 black balls. One bag is selected at random. From the selected bag, one ball is drawn. Find the probability that the ball drawn is red.
An urn contains five white balls and six red balls. The second urn contains 8 white balls and four red balls. An urn is selected and a ball is randomly drawn from the selected urn. The probability of selecting the first urn is .75. If the ball is red, find the probability that the second urn was selected.
A bag contains an equal number of pieces of candy for 6 candy colors. What is the probability of drawing either a yellow candy or a blue candy when drawing a single piece of candy from the bag?