Suppose the everyone in a community has a p=0.32 probability of being a Type-II Diabetic. Researchers sample 15 individuals from this community. What is the probability of finding exactly 4 Type-II Diabetics in the sample?
Suppose the everyone in a community has a p=0.32 probability of being a Type-II Diabetic. Researchers sample 15 individuals from this community. What is the probability of finding exactly 4 Type-II Diabetics in the sample?
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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Question
Suppose the everyone in a community has a p=0.32 probability of being a Type-II Diabetic. Researchers sample 15 individuals from this community. What is the probability of finding exactly 4 Type-II Diabetics in the sample?
Expert Solution
Step 1
Given that
n = 15 , p = 0.32 , q = 1 - p = 1 - 0.32 = 0.68
X ~ Binomial (n = 15 , p = 0.32)
X = Number of individuals being a Type-II Diabetic
p = Probability of being a Type-II Diabetic
Note : nCr = n! / {r! * (n - r)!}
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