Among 9318 cases of heart pacemaker malfunctions, 393 were found to be caused by firmware, which is software programmed into the device. If the firmware is tested in 3 different pacemakers randomly selected from this batchof 9318 and the entire batch is accepted if there are no failures, what is the probability that the firmware in the entire batch will be accepted? Is this procedure likely to result in the entire batch being accepted?The probability is This procedure isV to result in the entire batch being accepted.(Round to three decimal places as needed.)

Given data: Total cases = 9318 393 = caused by firmware 3 = Different firmware selected randomly To…

Answered: Among 9318 cases of heart pacemaker…

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 diagnostic test for disease X correctly identifies the disease 90% of the time. Flase positives occur 12%. It is estimated that 5.36% of the population suffers from disease X. Suppose the test is applied to a random individual from the population. What is the percentage chance that given a negative result, the person does not have disease X? What is the percentage chance that, the person will be misclassified?
A pharmaceutical company receives a large shipment of aspirin tablets. The acceptance sampling plan is to randomly select and test 48, tablets then accept the whole batch if there is only one or none that doesn't meet the required specifications. If one shipment of 6000 tablets actually has a 3% rate of defects, what is the probability that this whole shipment will be accepted? Or almost all such shipments be accepted or will many be rejected?
In a sample space of 200 left handed batsmen (LHB) and 300 right handedbatsmen (RHB), it is assumed that 0.5% of all LHB and 0.4% of all RHB have troubleplaying in-swinger delivery. What is the probability that exactly 1 batsman in the samplespace faces difficulty playing an in-swinger?
A national study found that treating people appropriately for high blood pressure reduced their overall mortality by 20%. Treating people adequately for hypertension has been difficult because it is estimated that 50% of hypertensives do not know they have high blood pressure, 50% of those who do know are inadequately treated by their physicians, and 50% who are appropriately treated fail to follow this treatment by taking the right number of pills. What is the probability that at least 7 of the 10 hypertensives know they have high blood pressure?
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…
A kissed frog has a 70% chance of turning into a prince, while a kissed toad has only a 20% chance of turning into a prince. If 16 frogs and 18 toads are kissed, what is the expected number of princes produced?
I have an hour, I will be glad if you help a)A statistician has analysed the duration of audience laughter after a stand up comedian's jokes. The data showed that the laughter duration was evenly distributed between 2.7 seconds and 12 seconds. Then, the probability that the laughter after one of this comedian's jokes lasts for more than 7 seconds is ....... b)Suppose that unknown to a geneticist, there are 5 out of 12 genes that play a significant role in developing skin cancer. If the geneticist randomly samples 5 of these 12 genes and studies them, the probability that he will have sampled more than 4 skin cancer related genes is ......... Note: Provide your answer in three decimal points e.g. 0.001
An experimental serum was injected into 500 guinea pigs. Initially, 200 of the guinea pigs had circular cells, 125 had elliptical cells, and 175 had irregular cells. After the serum was injected, none of the guinea pigs with circular cells were affected, 100 with elliptical cells were affected, and all of those with irregular cells were affected. Determine the empirical probability that a guinea pig with (a) circular cells, (b) elliptical cells, and (c) irregular cells will be affected by injection of serum.
A pharmaceutical company receives large shipments of ibuprofen tablets and uses sampling plan to accept the shipmemts. They randomly select and test 27 tablets, and accept the entire batch if there is at most one tablet that does not meet the required specifications.Suppose a particular shipment of ibuprofen tablets has a 4% rate of defects. What is the probability that this whole shipment will be accepted?
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)

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