Answers must be in 4 decimals1.Suppose that four Quality Control Inspectors at a canning factory are to stamp the expiration date on each package of canned goodat the end of the assembly line. Aldrin, who stamps 20% of the packages, fails to stamp the expiration date twice in every 200 packages;JP, who stamps 60% of the packages, fails to stamp the expiration date once in every 100 packages; Aaron, who stamps 15% of the packages,fails to stamp the expiration date once in every 90 packages; and Amathea who stampsfails to stamp the expiration date once in every 200 packages. If a customer complains that his package of canned goodsdoes not show the expiration date, what is the probability that it was not inspected by Aldrin?of the packages,2. In a certain semiconductor plant, three machines, M1, M2, and M3, make 30%, 45%, and 25%, respectively, of the products.It is known from past experience that these machines produce defective products at 2%, 3%, and 3%, respectively.Suppose that a finished product is randomly selected by the final QC Inspector, what is the probability that it is defective?

Answered: Image /qna-images/answer/95e5b4f3-fe90-4102-b8d1-abe4ee4522d9.jpg

Answered: 2. In a certain semiconductor plant,…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A factory has three machines such as A, B and C that produce 5 kΩ resistors. 80% of the resistors produced by A machine are within 5% tolerance and 70% of the resistances produced by B machine are within 5% tolerance. 60% of the production of the C machine provides this tolerance. Machines A, B and C produce 5000, 2000 and 3000 resistors in 1 hour, respectively. All produced resistors are shipped randomly mixed. 1.The probability that a resistance produced by this factory has a 5% tolerance, i.e. 5000 ± 250 Ω ? 2.Probability of a resistor within a randomly selected tolerance being produced from machine B? 3.Probability of a resistor within a randomly selected tolerance being produced from C machine
2. All of Dave's customers are neighbors that have yards of about the same size. Dave charges a flat rate of $32 for mowing and trimming and $20 for just mowing. Based on experience, he determines that the probability that a randomly selected customer wants him to mow and trim the lawn is 0.85; the rest of his customers just want him to mow. Let C= the amount Jacob charges a randomly selected customer. (a) Make a table that shows the probability distribution of C. (b) Calculate and interpret the mean of C. (c) Calculate and interpret the standard deviation of C. opp
1. A beverage manufacturing company uses a pair of redundant pumps to transfer flavored syrups to the bottling line. Each pump has a À of 0.055 failures per year and ß of 0.05. What is the probability that both pumps will fail during a 45 day production run? a. 0.00004 b. 0.00034 c. 0.00038 d. 0.12
4.
Consider an experiment in which subjects were randomly given either a mug or a pen, and were told that they owned the item they were given and could take it home at the end of the experiment. Approximately half the subjects (Group 1) were told that they would have a 90% probability of being able to exchange their object for the other one at the end of the experiment, and the rest (Group 2) were told that they would have a 10% chance of being able to exchange their object. Then, subjects filled out a time-consuming survey, the content of which is unimportant for this question. Finally, subjects were asked whether they want to exchange if given the chance. Moreover, before running the experiment, the researchers did a survey suggesting that half of the subjects prefer the mug and half of the participants prefer the pen.1 (a) In a neoclassical model (with no reference dependence), approx- imately what percentage of subjects should want to exchange in each group? (b) In a…
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…
1. In the experiment of tossing 3 coins, what is the probability of getting 3 heads? 2. The events x and y are mutually exclusive events. If P(x) = 0.4 and P(y) = 0.3, what is the probability of either x or y? What is the probability that neither x nor y will occur? %3D %3D 3. A student enrolled two math subjects: statistics and algebra. His chance of passing the statistics subject 0.65. His chance of passing algebra is 0.80 and his chance of passing both subjects is 0.50. What is the probability of passing at least one subject?
A company sends its products from 3 warehouses, namely from warehouse A=30%, warehouseB=20% and from warehouse C=50%. Based on complaints from customers, it is known thatthe percentage of defective products sent from each warehouse is as follows: A=3% , B= 5% and from warehouse C= 2%.a. Suppose a customer after ordering the product, the next dayComplained that the item was defective. What is the probability that the product receivedthe customer is from warehouse C? b. If another customer who also orders the product and getsthe goods are in good condition, what is the probability that the product received by the customerdoes it come from warehouse A?
Q. 1 Suppose that 4.5% of all adults over 50 have cancer. A certain physician correctly diagnoses 94% of all adults over 50 with cancer as having the disease and incorrectly diagnoses 4% of all adults over 50 without cancer as having the disease. (i) Draw a tree diagram and label it with appropriate probabilities. (ii) Find the probability that a randomly-selected adult over 50 is diagnosed as not having cancer. (iii) Find the probability that a randomly-selected adult over 50 actually has cancer, given that he/she is diagnosed as not having cancer.

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