A building contractor buys 80% of his cement from supplier A and 20% from supplier B. A total of 80% of the bags from A arrive undamaged, while 85% of the bags fromB arrive undamaged. Find the probability that a damaged bag is from supplier B.The probability is(Type an integer or decimal rounded to four decimal places as needed.) Companies A, B, and C produce 20%, 20%, and 60%, respectively, of the major appliances sold in a certain area. In that area, 2% of the company A appliances, 4-%2of the company B appliances, and 4% of the company C appliances need service within the first year. Suppose a defective appliance is chosen at random; find theprobability that it was manufactured by Company B.The probability that it came from company B is(Type an integer or decimal rounded to four decimal places as needed.)

Answered: Image /qna-images/answer/c11469aa-547e-4164-87ac-4265cbee1fe2.jpg

Answered: Companies A, B, and C produce 20%, 20%,…

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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Suppose a doctor is conducting a clinical trial to test the effectiveness of a new drug for treating a certain disease. The doctor randomly assigns 200 patients to two groups: a treatment group that receives the new drug, and a control group that receives a placebo. If 30% of the patients in the treatment group experience a full recovery from the disease, and 20% of the patients in the control group experience a full recovery, what is the probability that the new drug is truly effective, given these results?
A manufacturing company produces two types of smartphones, A and B. 30% of the smartphones produced are type A, while 70% are type B. The defect rate for type A smartphones is 2%, while the defect rate for type B smartphones is 4%. If a customer receives a defective smartphone, what is the probability that it is of type A? Show your calculations and reasoning.
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?
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…
With regards to a particular gene, the percentage of genotypes AA, Aa, and aa in a particular population are respectively, 60%, 30%, and 10%. Furthermore, the percentages of these genotypes that contract a certain disease are respectively. 1%, 5% and 20%. If a person does contract the disease, what is the probability that the person is of genotype AA?
A single server queuing system with a Poisson arrival rate and exponential service time has an average arrival rate of 7 customers per hour and an average service rate of 12 customers per hour. The probability of 2 customers in the system is : a. 0.1418 b. 0.6597 C. 0.4167 d. 0.8582
Example 2.1 260 bolts are examined as they are produced. Five of them are found to be defective. On the basis of this information, estimate the probability that a bolt will be defective.

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