12. A factory runs three shifts. In a given day, 1% of the items produced by thefirst shift are defective, 2% of the second shift's items are defective, and 5% ofthe third shift's items are defective. If the shifts all have the same productivity,what percentage of the items produced in a day are defective? If an item isdefective, what is the probability that it was produced by the third shaft?

In probability theory, an event is an outcome or a set of outcomes of a random experiment to which…

Answered: 2. A factory runs three shifts. In a…

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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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?
QUESTION 3 H Profits for a skiing resort depends on how much snow falls in winter. The probability distribution of snowfall and resulting profitability is as follows: More than 40 inches K120 000 40% 20 to 40 inches K40 000 20% Less than 20 inches -K40 000 40% The owner receives an offer from a hotel chain to lease the resort at a guaranteed profit of K45 000 for the season. He is also considering leasing snow making equipment which would allow the resort to operate full-time regardless of the amount of natural snow fall which would ensure profit of K120 000 minus the cost of leasing and operating the snow equipment. The leasing cost is K12 000 per season regardless of usage. Operating cost will be K10 000 for natural snowfall of more than 40 inches, K50 000 for between 20 and 40 inches and K90 000 if it is less than 20 inches. Required: Construct a decision tree…
refer to the above question 1. if a student is selected at random then the probability that he/she has passed only one test (either math or state, bot not both) is
QUESTION 5 A company's report shows that. 18% receive a salary increment. 7% of its workers had been receives the staff's award for the Year 2022 3.5% had received the staff's award and received a salary increment. a) Find the probability that a worker has received the staff's award, given that he/she has never received salary increment. b) Find the probability a worker receives salary increment or has received the staff's award. c) Find the probability a worker has never received the salary increment. d) Find the probability a worker has never received both.
Question 2: You are appointed as a quality engineer in a telecommunication company. Your manager asks you to enhance the company quality of service, by increasing the success rate for customers to get hold of tech support representatives. Assume that customers will call three times is an attempt to ask for tech support then give up. You want to make sure that you are able to serve at least 97% of the people who ask for tech support. Let p be the probability that a caller get hold of a tech support representative. What is the minimum value of p necessary to meet your goal?
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?
Question 8 47% of all violent felons in the prison system are repeat offenders. If 50 violent felons are randomly selected, find the probability that a. Exactly 25 of them are repeat offenders. b. At most 22 of them are repeat offenders. c. At least 25 of them are repeat offenders. d. Between 20 and 24 (including 20 and 24) of them are repeat offenders. Submit Question
Question 1 A new car warehouse has 200 cars. It is known that 75% of the cars have air-conditioning, 30% are manual the rest are automatic. It is also known that 40% of the manual cars have air- conditioning. a. Complete the following table. automatic car manual car Total car has air-conditioning car does not have air-conditioning Total One car is selected at random, find the probability, giving all answers correct to three decimal places that the car b. has air-conditioning and is an automatic. c. has air-conditioning or is an automatic. d. has air-conditioning given that it is an automatic. e. is an automatic if it has air-conditioning.
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?
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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