A pharmaceutical company receives large shipments of ibuprofen tablets and uses

Question

A pharmaceutical company receives large shipments of ibuprofen tablets and uses this acceptance sampling plan: randomly select and test 22 tablets, then accept the whole batch if there is at most one that doesn't meet the required specifications. If a particular shipment of thousan shipment will be accepted? ds of ibuprofen tablets actually has a 3% rate ofdefect what is the probability that this whole Placcept shipment)- Please show your answer to 4 decimal places) Enter an integer or decimal number [more Points possible: 1 License This is attempt 2 of 3. Score on last attempt: 0. Score in gradebook: 0

Explanation / Answer

n = 22 , p = 0.03

P(X < = 1) = P(X = 0) +P(X =1)

X follow binomial distribution with n = 22 , p = 0.03

P(X<=1) = 0.85979 = 0.8598

b)

P(X > 54)

=P(X = 55) +P(X = 56)

X follow binomial with n = 56 , p =0.86

P(X> 54) = 0.00217 = 0.0022

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