SOLUTION: hospital record show that 75% of the patient will recover will from a certain disease. 1) what is the probability that 2 out of 6 patient selected at random will die from a certai

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Question 1197315: hospital record show that 75% of the patient will recover will from a certain disease.
1) what is the probability that 2 out of 6 patient selected at random will die from a certain disease?
2)what is the probability that 4 out of the 6 patient selected at random will recover from a certain disease?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi  
Binomial Probability:  n = 6, p(recover) = .75, p(die) = .25
what then is the probability that the inspector's sample contains:
Using TI or similarly an inexpensive calculator like an Casio fx-115 ES plus
P(2 die) =.2966
0r
P+%28x%29=+highlight_green%28nCx%29%28p%5Ex%29%28q%29%5E%28n-x%29+ 
 P(2die) = 15(.25^2)(.75^4) =.2966

P(x = 4 recover ) = .2966
0r P+%28x%29=+highlight_green%28nCx%29%28p%5Ex%29%28q%29%5E%28n-x%29+ 
P(4 recover) = 15(.75^4)(.25^2) =.2966

Wish You the Best in your Studies.