In a bolt factory machines A, B, C manufacture 20%, 30%, 50% of the total oftheir output and 6%, 3% and 2% are defective.and found to be defective. What is the probabilities that is manufactured bymachines A, B and C ?A bolt is drawn at random

Given: P(A)=20%=0.20P(B)=30%=0.30P(C)=50%=0.50 Consider, the probability that ball drawn is…

Answered: In a bolt factory machines A, B, C…

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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If two cards are drawn without replacement from an ordinary deck, find the probabilities of the following results An ace and a 4 are drawn.
A product is made by 3 machines, B1, B2, and B3 with 30%, 45% & 25%, respectively. The machines produce with 2%, 3% & 2% defective rates. A product is randomly chosen and it is defective. What is the probability that the product is made by machine B3?
Your assembly plant buys identical widgets from 3 suppliers, A, B, and C. Suppliers A and B each supplies a quarter of your widgets each day, whereas Supplier C supplies the remaining 50%. Of the widgets supplied by A, B, and C, the average numbers of defective widgets are 5%, 3%, and 7%, respectively.(a) If a widget is selected at random, what is the probability of it being defective? Let A, B, C be the event of a randomly picked widget being sourced by suppliers A, B, and C, respectively. Furthermore, let D be the event of a randomly-picked widget being defective. Use these symbols A, B, C, and D when you do this problem.(b) What is the probability of a randomly-picked widget being supplied by A and also being defective?(c) If a randomly-picked widget is defective, what’s the probability of it having been supplied by A?(d) If a randomly-picked widget is defective, what’s the probability of it having been supplied by B? By C? What's the sum of the 3 probabilities…
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Suppose you’re playing Texas Hold ’Em Poker, and you are dealt a hand witha Jack of Clubs and a Queen of Hearts. The river of 5 cards hasn’t been dealtyet, and you’re hoping to get a straight (5 cards with consecutive ranks, such as10,J,Q,K,A or 8,9,10,J,Q). What is the probability that you will get a straightthat uses both the Jack and Queen in your hand? (This last part is to keep theproblem simple, since it’s possible to get a straight that uses neither card in your hand, suchas A,2,3,4,5, all in the river. Besides, in those cases, ALL players would have a straight, sothat’s not so good for you!)Guide: Our goal is to calculate:P(straight using both cards in hand) = # 5-card combinations that get us a straight with the J & Q# 5-card combinations overall .(a) We’ll start with the denominator, which can be done with a singleformula from class: How many 5-card combinations are possible for theriver? (Keep in mind what is in your hand. Note that how many opponents you haveand what…

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In a bolt factory machines A, B, C manufacture 20%, 30%, 50% of the total of their output and 6%, 3% and 2% are defective. and found to be defective. What is the probabilities that is manufactured by machines A, B and C ? A bolt is drawn at random