MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Question
Solve question #5
Total 243 362 132 737 a) Calculate the probability that a randomly selected subject in this study has genotype RR. b) Calculate the probability that a randomly selected subject in this study is both genotype RR and an endurance runner. c) Calculate P(endurance | RR) d) Calculate P(RR | endurance) e) Is genotype independent of group? Justify your answer with an appropriate equality or inequality between two probabilities. 4. The Witness test for feline leukemia has a 92.9% sensitivity and 96.5% specificity. Assume for this question that 2% of cats in a population actually have the disease. a) Draw a tree diagram representing this situation. b) Calculate the probabilities for each of the following test results: true positive, false negative, true negative, false positive. c) What is the probability that a cat who tests positive truly does have leukemia? "Fun" fact: this probability is called the positive predictive value. d) What is the probability that a cat who tests negative truly does not have leukemia? This quantity is called the negative predictive value. 5. Weights of newborn Asian elephants are approximately normally distributed with a mean of 103 kg and standard deviation of 20 kg. a) Sketch a density curve of this distribution. Include a numeric axis that is well-labelled and to scale. b) Calculate the Z-score for an elephant that weighs 73 kg. c) How much does an elephant weigh if its Z-score is 2.5? d) Use the Empirical Rule to estimate the percentage of elephants who have weights between 63 and 103 kg.
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Transcribed Image Text:Total 243 362 132 737 a) Calculate the probability that a randomly selected subject in this study has genotype RR. b) Calculate the probability that a randomly selected subject in this study is both genotype RR and an endurance runner. c) Calculate P(endurance | RR) d) Calculate P(RR | endurance) e) Is genotype independent of group? Justify your answer with an appropriate equality or inequality between two probabilities. 4. The Witness test for feline leukemia has a 92.9% sensitivity and 96.5% specificity. Assume for this question that 2% of cats in a population actually have the disease. a) Draw a tree diagram representing this situation. b) Calculate the probabilities for each of the following test results: true positive, false negative, true negative, false positive. c) What is the probability that a cat who tests positive truly does have leukemia? "Fun" fact: this probability is called the positive predictive value. d) What is the probability that a cat who tests negative truly does not have leukemia? This quantity is called the negative predictive value. 5. Weights of newborn Asian elephants are approximately normally distributed with a mean of 103 kg and standard deviation of 20 kg. a) Sketch a density curve of this distribution. Include a numeric axis that is well-labelled and to scale. b) Calculate the Z-score for an elephant that weighs 73 kg. c) How much does an elephant weigh if its Z-score is 2.5? d) Use the Empirical Rule to estimate the percentage of elephants who have weights between 63 and 103 kg.
Expert Solution
Check Mark
Step 1

It is given that 

Mean, μ = 103

Standard deviation, σ = 20

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