Samples of rejuvenated mitochondria are mutated (defective) in 1% of cases. Suppose 12 samples are studied, and they can be considered to be independent for mutation. Determine the following probabilities. (a) No samples are mutated. (b) At most one sample is mutated. (c) More than half the samples are mutated.
Samples of rejuvenated mitochondria are mutated (defective) in 1% of cases. Suppose 12 samples are studied, and they can be considered to be independent for mutation. Determine the following probabilities. (a) No samples are mutated. (b) At most one sample is mutated. (c) More than half the samples are mutated.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Transcribed Image Text:Samples of rejuvenated mitochondria are mutated (defective) in 1% of cases. Suppose 12 samples are studied, and they can be
considered to be independent for mutation. Determine the following probabilities.
(a) No samples are mutated.
(b) At most one sample is mutated.
(c) More than half the samples are mutated.
Round your answers to two decimal places (e.g. 98.76).
(a) The probability is i
(b) The probability is i
(c) The probability is i
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Step 1
Samples of rejuvenated mitochondria are mutated in 1% of the cases. So, probability that a randomly selected sample is mutated = 0.01
Now, a sample of 12 collected and studied.
Define the Random Variable,
X : Number of samples are mutated.
Note that, each samples are independently collected, probability of success ( a sample being mutated) is same for each of the samples, Fixed number number of samples (12) are collected.
So, X can be modelled as binomial distribution.
X ~ Binomial(n =12, p =0.01)
Probability Mass Function of X is given by,
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