vaccine manufacturer sent samples of its products to 3 different laboratories. The 3 laboratories certify the vaccines analyzed as negative with respective rates of 0.10, 0.08 and 0.12. If inspections are done sequentially, but

vaccine manufacturer sent samples of its products to 3 different laboratories. The 3 laboratories certify the vaccines analyzed as negative with respective rates of 0.10, 0.08 and 0.12. If inspections are done sequentially, but

Name: A vaccine manufacturer sent samples of its products to 3 different lab
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Description: A vaccine manufacturer sent samples of its products to 3 different laboratories. The 3 laboratories certify the vaccines analyzed as negative with respective rates of 0.10, 0.08 and 0.12. If inspections are done sequentially, but independent, so what

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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A blood bank asserts that a person with type O blood and a negative Rh factor (Rh−) can donate blood to any person with any blood type. Their data show that 49% of people have type O blood and 17% of people have Rh− factor; 52% of people have type O or Rh− factor. A. Find the probability that a person has both type O blood and the Rh− factor. B. Find the probability that a person does NOT have both type O blood and the Rh− factor.
Electrical engineers recognize that high neutral current in computer power systems is a potential problem. A survey of computer power system load currents at U.S. sites found that 10% of the sites had high neutral to full-load current ratios (IEEE Transactions on Industry Applications). If a random sample of five computer power systems is selected from a large number of sites in the country, what is the probability that exactly three will have a high neutral to full-current load ratio?
A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and test 22 tablets, then accept the whole batch if there is only one or none that doesn't meet the required specifications. If a particular shipment of thousands of aspirin tablets actually has a 6% rate of defects, what is the probability that this whole shipment will be accepted? ... The probability that this whole shipment will be accepted is (Round to three decimal places as needed.)
A lightbulb manufacturer ships large consignments of lightbulbs to big industrial users. When the production process is functioning comectly, which is 90% of the time, 15% of all bulbs produced are defective. However, the process is susceptible to an occasional malfunction, leading to a defective rate of 30%. If a defective bub is found, what is the probability that the process is functioning correctly? If a nondefective bulb is found, what is the probability that the process is operating comectly? If a defective bulb is found, the probability that the process is functioning correctly is (Round to three decimal places as needed) CUP
In a genetics experiment on peas, one sample of offspring contained 436 green peas and 373 yellow peas. Based on those results, estimate the probability of getting an offspring pea that is green. Is the result reasonably close to the value of 3/4 that was expected?
Deer ticks can carry both Lyme disease and human granulocytic ehrlichiosis (HGE). In a study of ticks in the Midwest, it was found that 15 % carried Lyme disease, while 11 % carried HGE. In addition, of the ticks with either Lyme disease or HGE, 16 % carried both diseases. (a) What is the probability P[L H] that a tick carrries both Lyme disease (L) and HGE (H)? P[LH] = (b) What is the conditional probability that a tick carries HGE, given that it has Lyme disease? P[H|L] =
In a population at high risk of developing cancer, each individual is classified as: Undiagnosed (U), Positive (P), Treatment (T) or Deceased (D). There is a test for the cancer, but there are false positive and false negative test results. Each month: • Each Undiagnosed person will either test positive and move to the Positive category (10 % likelihood), return a false negative test result and Die (3 %) or return a true negative test result (87%) and remain Undiagnosed. • Each Positive person will move to the Treatment category (70 % likelihood), or move to the Undiagnosed category (30 %) because their earlier test result was a false positive. • Each person in the Treatment category will either recover and move to the Undiagnosed category (40 % likelihood), require treatment for another month (40 %), or Die (20 %). Researchers wish to develop a model based on a system of differential equations. 1. Draw a life-cycle diagram showing all possible transitions between the four categories…
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1. Power companies severely trim trees growing near their lines to avoid power failures due to falling limbs in storms. Applying a chemical to slow the growth of the trees is cheaper than trimming, but the chemical kills some of the trees. Suppose that one such chemical would kill 20% of sycamore trees. The power company tests the chemical on 250 sycamores. Consider this a SRS from the population of all sycamore trees. Calculate the probability that less than 24% of the tress in the sample are killed. (Hint: Shape, Center, Spread, Curve, Calculations, Conclusion....)
A particular automatic sprinkler system has two different types of activation devices for each sprinkler head. One type has a reliability of 0.75; that is, the probability that it will activate the sprinkler when it should is 0.75. The other type, which operates independently of the first type, has a reliability of 0.85. If either device is triggered, the sprinkler will activate. Suppose a fire starts near a sprinkler head. (provide your answer in four decimal numbers) (i) What is the probability that the sprinkler head will be activated? (1.5) (ii) What is the probability that the sprinkler head will not be activated? (1.5) (iii) What is the probability that both activation devices will work properly? (1.5) (iv) What is the probability that only the device with reliability 0.75 will work properly? (1.5)
In a genetics experiment on peas, one sample of offspring contained 367 green peas and 40 yellow peas. Based on those results, estimate the probability of getting an offspring pea that is green. Is the result reasonably close to the valuee of 3/4 that was expected?