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How to solve a Multinomial Distribution IN MATLAB

Asked by jawaher shah on 21 Apr 2019
Latest activity Answered by Image Analyst
on 21 Apr 2019
hello, i'm trying to solve this question using Matlab
According to USA Today (March 18, 1997), of 4 million workers in the general workforce, 0.8% tested positive for drugs. Of those testing positive, 22.5% were cocaine users and 54.4% marijuana users.
(a) What is the probability that of 10 workers testing positive, 2 are cocaine users, 0 marijuana users, and 3 users of other drugs?
I solved it by hand as the following
p(2 Cocaine, 5 Marjuana, 3 Others) = 10!/2!5!3! (0.225)^2(0.544)^5(0.231)^3
but i'm not sure how to use the formula. Can you please help me and thanks in advance.

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1 Answer

Answer by Image Analyst
on 21 Apr 2019

I believe that formula in MATLAB would be
p = factorial(10) / (factorial(2) * factorial(5) * factorial(3)) * (0.225)^2 * (0.544)^5 * (0.231)^3

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