SOLUTION: A random committee of size 3 is selected from 4 doctors and 2 nurses. Write a formula for the prob-ability distribution of the random variable X representing the number of doctors

Question 876201: A random committee of size 3 is selected from 4 doctors and 2 nurses. Write a formula for the prob-ability distribution of the random variable X representing the number of doctors on the committee. Find P(2 ≤ X ≤3).
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!

 

Hi

p(doctor chosen) = 4/6 = 2/3, p(nurse chosen) = 2/6 = 1/3,  n = 3

 

P(2 ≤ X ≤3) = P(2) + P(3)=  += .4444 + .2963 = .7407 

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