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

Algebra ->  Probability-and-statistics -> 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       Log On


   

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) About Me  (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+%28x%29=+highlight_green%283Cx%29%28%282%2F3%29%5Ex%29%281%2F3%29%5E%283-x%29+ 

P(2 ≤ X ≤3) = P(2) + P(3)= %283C2%29%282%2F3%29%5E2%281%2F3%29%5E1 +3C3%282%2F3%29%5E3= .4444 + .2963 = .7407