SOLUTION: A milk processing unit claims that, of the processed milk converted to powdered milk, 95% does not spoil. Find the probabilities that among 15 samples of powdered milk (a) all

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Question 1177277: A milk processing unit claims that, of the processed
milk converted to powdered milk, 95% does not
spoil. Find the probabilities that among 15 samples of
powdered milk
(a) all 15 will not spoil;
(b) at most 12 will not spoil;
(c) at least 9 will not spoil.

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
Binomial Distribution:  p(does not spoil) = .95 and q(spoil) = .05
n = 15
Using Ti or similarly an inexpensive calculator like a Casio fx-115 ES plus 
P(x = 0) = basically 0
P(x ≤ 12) = .0307
P( x ≥ 9) = 1 - P(x ≤ 8) 1 - .000003 = .999997

Wish You the Best in your Studies.