A manufacturer of bicycles holds a surprise quality audit of twoidentical production lines. All bicycles assembled during a randomlyselected one-hour period are inspected. Line A has 100 bicycles inspected,and Line B has 150 inspected. From Line A, the audit finds 29 bicycleswith some type of defect, while Line B has 132 non-defective bicycles.1. If a bicycle is randomly selected from all those inspected,what is the probability it is defective?2. If a bicycle is defective, what is the probability it is from Line A?3. If a bicycle is from Line B, what is the probability it is defective?

The question is about probability Given : No. of bicycles inspected from line A = 100 No. of…

Answered: A manufacturer of bicycles holds 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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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) = %
4. An IT department at a small business has 9 laptop computers and 18 desktop computers. The research group is allocated twelve computers. a. What is the probability that the research department will obtain exactly 8 laptops? b. What is the expected value of the distribution of the number of laptops obtained? c. What is the variance of the distribution of the number of laptops obtained?
When two births are randomly selected, the sample space for genders is bb, bg. gb, and gg. Assume that those four outcomes are equally likely. Construct a table that describes the sampling distribution of the sample proportion of girls from two births. Does the mean of the sample proportions equal the proportion of girls in two births? Does the result suggest that a sample proportion an unbiased estimator of a population proportion? For the entire population, assume the probability of having a boy is the probability of having a girl is , and this is not affected by how many boys or girls have previously been born. 2 Determine the probabilities of each sample proportion. Probability Sample proportion of girls Tune intanare or cimnlifiad frartinne
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%?
A study by a reputable research organization found that when presented with prints from the same individual, a fingerprint expert will correctly identify the match 91% of the time. In contrast, a novice will correctly identify the match 77% of the time. Consider a sample of seven different pairs of fingerprints, where each pair is a match. Complete parts a and b below. a. What is the probability that an expert will correctly identify the match in all seven pairs of fingerprints? The probability is enter your response here. (Round to four decimal places as needed.) b. What is the probability that a novice will correctly identify the match in all seven pairs of fingerprints? The probability is enter your response here. (Round to four decimal places as needed.)
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?
4. Six employees of a marketing firm had effectiveness ratings as follows: 0.72, 0.46, 0.59, 0.64, 0.81 and 0.76. Find the probability of selecting an employee with the indicated effectiveness rating.a. Greater than 0.75. b.Less than 0.75 but greater than 0.5. c. Greater than the mean. d. Not less than 0.9.
5. Five hundred tickets will be sold and these will be raffled during the town fiesta. One of these tickets will win ₱3000 and the rest will win nothing. What will be the expected outcome and variance of your gain if you will buy one of the tickets?6. Astrid tosses an unbiased coin. On each toss, she wins ₱50 if a head appears, and loses ₱40 if a tail appears. What will be the expected value and variance of her gain?
1. In a factory that produces pieces of ready-made concrete, if the percentage of production of defective blocks is 0.6, if we draw a sample of 5 pieces: find the probability of getting 3 defective pieces. *

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