eviation of 20 kg. a) Sketch a density curve of this distribution. Include a b) Calculate the Z-score for an elephant that weighs c) How much does an elephant weigh if its Z-score is 2.5? 103 Rg numeric axis that is well-labelled and to scale. 73 kg. mdard
eviation of 20 kg. a) Sketch a density curve of this distribution. Include a b) Calculate the Z-score for an elephant that weighs c) How much does an elephant weigh if its Z-score is 2.5? 103 Rg numeric axis that is well-labelled and to scale. 73 kg. mdard
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Solve question #5

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

Step 1
It is given that
Mean, μ = 103
Standard deviation, σ = 20
Step by step
Solved in 4 steps with 1 images

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