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?
A jet fighter consists of two engines. The probability that the second engine functions in a satisfactory manner during its design life is 0.97, and the probability that at least one if the two engines does so is 0.975 and the probability that both engine do so is 0.93. Given that the first engine functions in a satisfactory manner throughout its design life, what is the probability that the second one also?
The Business School at State University currently has three parking lots, each containing 155 spaces. Two hundred faculty members have been assigned to each lot. On a peak day, an average of 70% of all lot 1 parking sticker holders show up, an average of 72% of all lot 2 parking sticker holders show up, and an average of 74% of all lot 3 parking sticker holders show up. a. Given the current situation, estimate the probability that on a peak day, at least one faculty member with a sticker will be unable to find a spot. Assume that the number who show up at each lot is independent of the number who show up at the other two lots. Compare two situations: (1) each person can park only in the lot assigned to him or her, and (2) each person can park in any of the lots (pooling). (Hint: Use the RISKBINOMIAL function.) If needed, round your answer to a whole percentage and if your answer is zero, enter "0". No pooling: Pooling: 51.4 % 83.8 % b. Now suppose the numbers of people who show up at…
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…
Answer the following. If a die is rolled, find the probabilities. A. Of getting a 4 B. Of getting an even number C. Of getting a number greater than 4
The management of the large department store in Example B.1 must determine whether more training is neededfor the customer service clerk. The clerk at the customer service desk can serve an average of three customersper hour. What is the probability that a customer will require 10 minutes or less of service?
Two unbalanced dice are thrown at the same time. The first die has the property that the probability of getting a side of 1 and 6 is three times the other side. While the second dice has the property that the probability of the appearance of the sides of the eye 3 and 4 is three times the probability of the other side. If X represents the appearance of the side of the first die and Y represents the appearance of the side of the second die. a. Find the joint probability mass function, P(x,y) b. Find the X and Y marginal probability mass functions c. Find E(X), E(Y), and E(XY)
A jet fighter consists of two engines. The probability that the second engine functions in a satisfactory manner during its design life is 0.96, and the probability that at least one if the two engines does so is 0.98 and the probability that both engine do so is 0.935. Given that the first engine functions in a satisfactory manner throughout its design life, what is the probability that the second one also?