SOLUTION: the manufacturer of a bag of nails claims that there is a 75% chance that the bag contains some deformed nails. if 20 bags are chosen at random, what is the probability that: a)

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Question 1161229: the manufacturer of a bag of nails claims that there is a 75% chance that the bag contains some deformed nails. if 20 bags are chosen at random, what is the probability that:
a) all bags contain some deformed nails
b) more than 17 bags contain some deformed nails
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
for a it is .75^20=0.0032
more than 17 includes 18,19,20
for 18 prob is 0.0669
for 19 prob is 0.0211
can do it a few ways. 2 VARS to binompdf (n,p,number) or (20,.75,18)
or 20C18*0.75^18*0.25^2
Sum is 0.0912