PROBLEM 3Patients arriving at an outpatient clinic are routinelyscreened for high blood pressure. Assume that thiscondition occurs in 14% of the population.These are Bernoulli trials, with constant probability ofsuccess p= 0.14 on each trial, where success isfinding a patient with high blood pressure.(a) What is the probability that the third patient of the dayhas high blood pressure?(b) What is the average number of patients that must beseen to find the first patient with high bloodpressure?(c) If the clinic typically sees 48 patients cach day, what isthe probability of finding 4 patients with highblood pressure? (Use Excel to compute)

Let there is a sequence of trials, each having two outcomes, say Success and Failure, trials being…

Answered: PROBLEM 3 Patients arriving at an…

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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As a warehouse manager, it is your responsibility to inspect a large shipment of components for defects. Two independent random samples, each of size 20 of these components will be checked, and the shipment will be accepted if fewer than 3 of these components are defective in both samples. What is the probability of accepting a shipment containing 10% defectives?
If the odds of catching the flu among individuals who take vitamin C is 0.0342 and the odds of catching the flu among individuals not taking vitamin C is 0.2653, then the individuals not taking vitamin C are 7.7573 times more likely to catch the flu than individuals taking vitamin C. True False
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 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.)
Researchers developed a "cat IQ test" and find that the population of cats in the United States has a mean score of u = 25 on this test with a standard deviation of g = 3. You decide to test a sample of n = 45 cats to do some research about whether some breeds are smarter. You collect your sample of n = 45 cats and find their mean cat IQ is M = 25.5. What is the probability of this sample? That is, what is p(M>25.5)?
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A private hospital gets an average of 14 hospital admissions per week in its emergency room (ER). Let x be the outcome of hospital admissions in the emergency room in a week. In order to plan for the number of beds for the future, the hospital has to model the data with an appropriate distribution. (a) what distribution would you suggest for the random variable X, and why? (b) what is the probability of getting at most two admissions in one week? (c) what is the probability of getting at most two admissions in two weeks? (d) what is the probability of getting at least one admission in 2 days, assuming its ER opens 7 days a week? (e) if the hospital closes for three days because of a very serious event, how may new patients will the ER miss for admission on average, in those three days?
The president of Doerman Distributors, Inc., believes that 28% of the firm's orders come from first-time customers. A simple random sample of 100 orders will be used to estimate the proportion of first-time customers. What is the probability that the sample proportion will be between 0.16 and 0.40 (to 4 decimals)? What is the probability that the sample proportion will be between 0.21 and 0.35 (to 4 decimals)?
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A factory uses a specific machine to produce pieces. From previous data, we know that 97% of the time the machine is set up correctly. If this is the case, it produces 95% acceptable (non-defective) pieces. However, if it is not set up correctly, it produces only 40% of acceptable pieces Q23 Given that the selected piece is non-defective, what is the probability that the machine is set up correctly? Your answer should be in % and have two digits after the period. So, if your answer is 50.023%, enter 50.02. Your Answer:
A report to Health Canada indicated that an intensive education program was used in an attempt to lower the rate of lung cancer development among females. After running the program, a long-term follow-up study of 40a females was conducted, which revealed the current rate of lung cancer development is 7.a %. (a=1) Find the probability that 10 or less females have lung cancer development.
A doctor is interested in the proportion of patients which live at least 5 years after being diagnosed with stage 4 breast cancer. He randomly selects 138 patients diagnosed with stage 4 breast cancer and follows them for 5 years. Suppose the true 5 year survival rate for stage 4 breast cancer is 38%. 1. How are the collection of all sample proportions of samples of size 138 distributed? NO 2. What is the probability that fewer than 34% of the patients studied survived for at least 5 years? o List the z-scores needed to calculate the result. If there is more than one z-score, separate the values with a comma. o There is a survived for at least 5 years. 3. What is the probability that more than 45% of the patients studied survived for at least 5 years? chance that fewer than 34% of the patients studied o List the z-scores needed to calculate the result. If there is more than one z-score, separate the values with a comma. O There is a survived for at least 5 years. chance that more than…

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