Q4/ Suppose there are two machines (A, B) in a factory, both producing chairs.Machine A produce twenty percent of their chairs and Machine B produce eightypercent of their chairs. fifteen percent of the chairs come from Machine A aredefective and ten percent of the chairs come from Machine B are defective. If achair is chosen randomly and found to be defective, what is the probability that itcame from machine B?

Answered: Image /qna-images/answer/caa92d9b-b5c6-4adc-b2cc-6857f92879f8.jpg

Answered: Q4/ Suppose there are two machines (A,…

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

You have three jars containing marbles, as follows:jar 1 600 red and 400 whitejar 2 900 blue and 100 whitejar 3 10 green and 990 whitea. If you blindly select one marble from each jar,calculate the probability of obtaining(1) a red, a blue, and a green.(2) three whites.(3) a red, a green, and a white.(4) a red and two whites.(5) a color and two whites.(6) at least one white.b. In a certain plant, R = red and r = white. You self a redR/r heterozygote with the express purpose of obtaining awhite plant for an experiment. What minimum numberof seeds do you have to grow to be at least 95 percentcertain of obtaining at least one white individual?c. When a woman is injected with an egg fertilized invitro, the probability of its implanting successfully is20 percent. If a woman is injected with five eggssimultaneously, what is the probability that she willbecome pregnant? (Part c is from Margaret Holm.)
Bag A contains 3 red balls and 1 blue ball. Bag B contains 2 red balls and 3 blue balls. I choose one of the two bags randomly, put my hand into it and take out two balls. (a) What is the probability that I have taken out one blue ball and one red one? (b) What is the probability that I took the balls from bag A, given that I have taken out one blue ball and one red one?
Airline A is on time 80% of the time, Airline B is on time 85% of the time, and Airline C is on time 90% of the time. Airline A has twice as many flights as Airline B, and Airline B has three times as many flights as Airline C. One flight is selected at random from one of these airlines. (a) What is the probability this flight on time? (b) Given that the flight is on time, what is the probability it is from Airline A?
There are two bags containing several colored balls. The bag B, contains 10 red balls, 12 blue balls, and 13 green balls. The bag B, contains 20 red balls, 19 blue balls and 19 green balls. A student of your class wanted to draw 1 red ball and 3 blue balls. i. If he has the option to draw from only bag B1, what is the probability of drawing the four balls? [Give your answer upto 4 decimal places] ii. If he can choose any bag in an equiprobable manner, what is the probability of drawing the four balls in this case? [Give your answer upto decimal places] 4
At a factory that produces pistons for cars, Machine 1 produced 354 satisfactory pistons and 236 unsatisfactory pistons today. Machine 2 produced 560 satisfactory pistons and 140 unsatisfactory pistons today. Suppose that one piston from Machine 1 and one piston from Machine 2 are chosen at random fro today's batch. What is the probability that the piston chosen from Machine 1 is unsatisfactory and the piston chosen from Machine 2 is satisfactory ? Do not round your answer.
At a factory that produces pistons for cars, Machine 1 produced 357 satisfactory pistons and 343 unsatisfactory pistons today. Machine 2 produced 414satisfactory pistons and 276 unsatisfactory pistons today. Suppose that one piston from Machine 1 and one piston from Machine 2 are chosen at random fromtoday's batch. What is the probability that the piston chosen from Machine 1 is unsatisfactory and the piston chosen from Machine 2 is satisfactory?Do not round your answer.
According to the survey of American households, the probability that the household owns Smart 3D HDTV if the house has two earning members is 51%. Of the households surveyed, 47% did not have two earning members and 48%had Smart 3D HDTVs. If the household is selected which owns a Smart 3D HDTV, what is the probability that this house does not have two earning members?
At a factory that produces pistons for cars, Machine 1 produced 632 satisfactory pistons and 158 unsatisfactory pistons today. Machine 2 produced 528satisfactory pistons and 272 unsatisfactory pistons today. Suppose that one piston from Machine 1 and one piston from Machine 2 are chosen at random from today's batch. What is the probability that the piston chosen from Machine 1 is unsatisfactory and the piston chosen from Machine 2 is satisfactory ? Do not round your answer.
A bag contains 3 green balls, 4 red balls, and no other balls. Victor removes balls randomly from the bag, one at a time, and places them on a table. Each ball in the bag is equally likely to be chosen each time that he removes a ball. He stops removing balls when there are two balls of the same colour on the table. What is the probability that, when he stops, there is at least 1 red ball and at least 1green ball on the table?
On Monday and Wednesday night, Raymond went to bed listening to music on his phone. The phone contains music from 3 different composers. 5 songs are Palestrina, 1 song is Bach and 4 songs are Beethoven. His phone plays music in a random order. What is the probability that on both nights Raymond fell asleep listening to the same composer?
Box I contains 4 red and 8 blue marbles while box II contains 5 red and 3 blue marbles. An unfair coin is tossed –whoseprobability of turning up heads is 40%. If the coin comes up heads, box I is chosen and a random marble is chosen, otherwise if it is tails the marble is chosen from box II. If a red marble is chosen, what is the probability it came from box I?

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