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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3. In testing a certain kind of truck tire over rugged terrain, it is found that 25% of the trucks fail to complete the test run without a blowout. Of the next 16 trucks tested, find the probability that a. From 3 to 6 have blowouts, exclusive; b. Fewer than 4 have blowouts; c. More than 5 have blowouts.
3. Two board members were chosen at random from 12 candidates of which 8 were independent candidates. a. Determine the probability distribution for the number of independent candidates selected. b. Find the mean and the variance of the distribution of the number of independent candidates chosen as board members.
6. Three out of eight BS in Business Administration graduates are in banking industry. If 600 BS in Business Administration graduates are randomly selected, find the probability that 190 or less are in banking industry? Solution: nq =
B. What is the probability a sample of 90 test takers will provide a sample mean test score within 10 points of the population mean of 515 on the mathematics part of the test. c. What is the probiotic a sample of 100 test takers will provide a sample mean test score within 10 points of the population mean of 494 on the writing part of the test.
10.2.% of the population is 65 or older . Find the probability that the following number of persons selected at random from 50 people are 65or older . The probability that at most 2 are 65 or older is ?
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?
Suppose a math class contains 37 students. There are 19 females (six of whom speak Spanish) and 18 males (five of whom speak Spanish). Give all answers as decimals to at least two decimal places.1. What is the probability that a randomly selected student speaks Spanish, given that the student is female? 2. What is the probability that a randomly selected student does not speak Spanish, given that the student is male? 3. What percent of Spanish speaking students are male? 4. If someone does not speak Spanish what is the probability they are female?
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?
12. A survey conducted discovered that 63% of all Americans are overweight. Suppose that a number of randomly selected Americans are weighed. The following table may (or may not) be useful: k 0 1 2 3 4 1 4 6 4 1 4Ck (a) Find the probability that the 4th person weighed is the first person to be overweight. (b) Find the probability that it takes less than 4 people to observe the first overweight person. (c) Find the expected value and variance of the number of Americans that would have to be weighed in order to find the first person that was overweight.

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