Clemntines are sold in boxes. Each box contains 50 clementines. theprobability t

Question

Clemntines are sold in boxes. Each box contains 50 clementines. theprobability that a clementine in a box is spoiled is .01.
(a) use an appropriate approximation to determine theprobability that a box contain 0,1,or at least 2 spoiledclementines.
(b) A shipment of clementines with 100 boxes is consideredunacceptable if 35% or more of the boxes contian spoiledclementines. What is the probability that a shipment isunacceptable? (Answer is 0.8461) But I am not positive on how toget it.
(a) use an appropriate approximation to determine theprobability that a box contain 0,1,or at least 2 spoiledclementines.
(b) A shipment of clementines with 100 boxes is consideredunacceptable if 35% or more of the boxes contian spoiledclementines. What is the probability that a shipment isunacceptable? (Answer is 0.8461) But I am not positive on how toget it.

Explanation / Answer

Given X~Binomial(n=50, p=0.01) By using normal approximation, X~Normal(=n*p=50*0.01=0.5,=n*p*(1-p)=sqrt(50*0.01*0.99)=0.7) -------------------------------------------------------------------------------------------------- (a) P(X=0) = P(-0.5

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