Question 756301
Q:
A distributor of bean seeds determines from extensive tests that 5% of large batch of seeds will not germinate. He sells the seeds in packets of 200 and guarantees 90% germination, determine the probability that a particular packet will violate the guarantee.
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A:
X~Binomial(0.95, 200)
90% of 200 = 180
P(X ≤ 179) = {{{sum((matrix(2,1,200,x))(0.95^x)(0.05^(200 - x)), x = 0, 179)}}} = {{{highlight(0.00116)}}}