26. Four workers work in a small factory assembling chairs in which of them respectively assembles30%, 30%, 20%, and 20% of the chairs. From the past record, it is know that each of theworkers are responsible for 7%, 5%, 3%, and 2% of defective chairs, respectively. Supposethat a chair is chosen at random, what is the probability that the chair is defective?(a) 0.021(c) 0.042(b) 0.036(d) 0.046

Given: Worker Proportion of chairs assembled Proportion of defectives 1 30% 7% 2 30% 5%…

Answered: 26. Four workers work in a small…

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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5. A manufacturer of cell phones purchases batteries from a vendor. It is not uncommon to receive defective batteries from this vendor, thus whenever a shipment is received, a sample of batteries is inspected. For this month's shipment, a random sample of 280 batteries is selected and each battery is inspected. If the proportion of defective batteries sampled is more than 1.5%, the entire shipment will be returned to the vendor. What is the probability that this month's shipment will be returned if the true proportion of defective batteries is 4%?
7. a. What is the most likely outcome?b. One person is selected at random from these adults. Find the probability that this person is:(i) In favor of cloning(ii) Male and Female against cloning(iii) In favor of cloning given that the person is female(iv) Male or female in favor of cloning
21. A survey involving 600 Democrats, 400 Republicans and 200 Independents asked the question: "Do you favor or oppose eliminating taxes on dividends paid to shareholders?" The following results were obtained: Answer Democrats, % Republicans, % Independents, % Favor 29 66 48 Орpose 71 34 52 What is the probability that a person selected at random from this survey answered "favor"?
In a survey of U.S. adults with a sample size of 2082, 370 said Franklin Roosevelt was the best president since World War II. Two U.S. adults are selected at random from this sample without replacement. Complete parts (a) through (d). (a) Find the probability that both adults say Franklin Roosevelt was the best president since World War II. The probability that both adults say Franklin Roosevelt was the best president since World War II is O. (Round to three decimal places as needed.) (b) Find the probability that neither adult says Franklin Roosevelt was the best president since World War II. The probability that neither adult says Franklin Roosevelt was the best president since World War II is (Round to three decimal places as needed.) (c) Find the probability that at least one of the two adults says Franklin Roosevelt was the best president since World War II. The probability that at least one of the two adults says Franklin Roosevelt was the best president since World War II is.…
n one state, 52% of the voters are Republicans, and 48% are Democrats. In a second state, 47% of the voters are Republicans, and 53% are Democrats. Suppose a simple random sample of 100 voters are surveyed from each state. What is the probability that the survey will show a greater percentage of Republican voters in the second state than in the first state? (A) 0.04(B) 0.05(C) 0.24
In the diagram below, all circles represent products and the shaded circles represent defective products. If three items are drawn at random from the lot, what is the probability that they are not defective? оооо ооо оо оо 0000 0 а. 0.5113 0 b. 0.4233 О с. 0.7234 Od. 0.8095 0 e. 0.0030
3. A study conducted at a large hospital found that 27.8 percent of all patients admitted to the hospital's ICU remained in the ICU for less than 24 hours. (A) If 8 patients are selected at random from the ICU patients at the hospital, what is the probability that 2 or fewer of them remained in the ICU for less than 24 hours? (B) Suppose that 20 patients are selected at random from the ICU patients at the hospital. Calculate the mean and standard deviation of the number of these patients who remained in the ICU for less than 24 hours. (C) Another result of the study was that for elective (non-emergency) admissions to the hospital's ICU, the length of the stay in the ICU had a mean of 18.9 hours and a standard deviation of 3.9 hours. Assuming that the length of stay in the ICU for elective admissions is normally distributed, what proportion of elective admissions remained in the ICU for less than 24 hours?
3. Twenty five percent of a town's voters favor letting a major discount store move into their neighbourhood, 60% are against it and 15% are indifferent. What is the probability that a randomly selected voter from this town will either be against it or be indifferent?
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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