In a medicine company, there are four plants A, B, C, and D producing one product. The total output produced by plants A, B, C, and D are 30, 20, 15, and 35 percent respectively. Of their total production 5, 7, 4, and 9 percent respectively are not meeting the required standard. A product sample is selected at random and found is not meeting the required standard. Using Bayes of probability to compute the probability of sample product came from plant B.

In a medicine company, there are four plants A, B, C, and D producing one product. The total output produced by plants A, B, C, and D are 30, 20, 15, and 35 percent respectively. Of their total production 5, 7, 4, and 9 percent respectively are not meeting the required standard. A product sample is selected at random and found is not meeting the required standard. Using Bayes of probability to compute the probability of sample product came from plant B.

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

2. Currently there are 25 secondary schools in Miri including private, technical and vocational. The numbers of teachers in each of these schools are as follows: 135 102 120 120 112 128 104 78 105 114 144 98 90 145 122 148 115 155 68 112 98 88 124 94 90 Assuming the population mean of secondary school teachers is normal, what is the probability that the mean number of secondary school teachers is less than 100?
Suppose that 100 patients are asked to rate the services provided by a local hospital. Therating options are: 1 (Outstanding), 2 (Good), 3 (Okay), 4 (Poor), and 5 (Terrible). Theresults of the survey show that 15 people listed the services as Outstanding, 38 as Good,25 as Okay, 13 as Poor, and 9 as Terrible. Find the probability distribution for the hospitalservices rating.
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…
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?
In a multinational company, a server is installed to handle 200 computers. There is 40% chances that the sever is failed to perform certain task. What is the probability at least 3 out of 10 randomly selected servers will perform their tasked properly.
There are two routes Jasmine can take to work. Route A has five stoplights. The probability distribution of how many lights at which she will need to stop is below. The average amount of time spent at each stop light on Route A is 30 seconds. Number of red lights 1 2 3 5 Probability 0.04 0.28 0.37 0.14 0.11 0.06 Route B has three stop lights. The probability distribution of Route B is below. The average wait time for these lights is 45 seconds. Number of red lights 1 3 Probability 0.09 0.31 0.40 0.20 Which route should she take?