7. Among all the computer chips produced by a certain factory, 6 percent are defective.A sample of 400 chips is selected for inspection.a. What is the probability that this sample contains between 20 and 25 defectivechips (including 20 and 25)?b.Suppose that each of 40 inspectors collects a sample of 400 chips. What is theprobability that at least 8 inspectors will find between 20 and 25 defective chipsin their samples?

Answered: Image /qna-images/answer/78bc4868-04e1-4c1b-978e-7e841e69ff37.jpg

Answered: 7. Among all the computer chips…

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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2. A psychology class consists of 14 males and 36 females. If the professor selects names from the class list using random sampling, a. What is the probability that the first student selected will be a female? 8. I b. If a random sample of n = 3 stu dents is selected and the first two are both females, what is the prob- ability that the third student selected will be a male? CRE NA
6. Employers often require their employees to be subjected to random drug testing. Suppose that 5% of employees use a certain type of drug. Drug testing accuracy varies. From years of data collection it is known that those who use this type of drug have ½ 94% chance of testing positive. It is also known that 3% of non-drug users (of the certain type of drug) still test positive. a.) Fill out a probability cross tabulation. b.) If the employee tests positive for a certain drug, what's the probability that the employee uses the drug? c) If the employee tests positive for a certain drug, what's the probability that the employee does NOT use the drug?
A. What is the probability that a randomly selected person who buys more than 2 pairs of jeans is female B. What is the probability that a randomly selected person who is male buys 2 pairs of jeans?
3. Pollsters are concerned about declining levels of cooperation among persons contacted in surveys. A pollster contacts 73 people in the 18-21 age bracket and finds that 62 of them respond and 11 refuse to respond. When 303 people in the 22-29 age bracket are contacted, 273 respond and 30 refuse to respond. Assume that 1 of the 376 people is randomly selected. Find the probability of getting someone in the 22-29 age bracket or someone who responds.Report the answer as a percent rounded to one decimal place accuracy. You need not enter the "%" symbol.P(22-29 or responds) = %
В. Forty five percent of the streets in an area have private guards for security. Three streets are selected at random: i. What is the probability all three of the selected streets have private guards? What is the probability none of the three selected streets has private guards? What is the probability at least one of the selected streets has private guards? iv. ii. iii. What is the probability at most two of the selected streets have private guards?
4.The mortality rate for a certain disease is 25%. A random sample of twelve patients with this disease is selected. a.What is the probability that exactly half of the patients selected will die from the disease? b.What is the probability that at least two of the twelve patients will die from the disease?
10. According to a Los Angeles Medical Malpractice Law Firm, there are on average 12,414 cases of medical malpractice reported to the NPDB annually. Of these, approximately 5,342 are due to negligence. a. Calculate the probability that an individual randomly selected medical malpractice report is due to negligence. b. Calculate the probability that an individual randomly selected medical malpractice report is not due to negligence. C. It 4 different malpractice suits were randomly selected, what is the probability that all four were not due to negligence.
3. A company produces boxes of candy that contain a mean of 50 candies each. The standard deviation is 2. Quality control will reject any box with fewer than 48 candies. a) What is the probability that a box selected at random contains exactly 51 pieces? b) What proportion of the boxes will quality control reject as containing too few candies? c) The company produces 135 000 boxes of candy a day. How many of these boxes will have at least 48 candies but no more than 53?
Suppose that 30 percent of an adult population have an infectious disease and 40 percent have achronic disease. Assume that having an infectious disease is independent from having a chronicdisease. For each of the questions below perform the calculation using appropriate statisticalnotation.a. What is the probability that a person selected at random will have both diseases?b. What is the probability of having the infectious disease for people with the chronic disease?c. What is the probability of having the infectious disease for people without the chronic disease?d. What is the probability of not having the infectious disease for people with the chronicdisease?

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