Latoya David 6/24/18 6:00 PM 2774- STA2023 Summer 2018 Save Homework: Section 5.

Question

Latoya David 6/24/18 6:00 PM 2774- STA2023 Summer 2018 Save Homework: Section 5.2 Score: 0 of 1 pt 5.2.35-T Hw Score: 47.5%, 9.5 of 20 pts 190120 (1 1 complete) ? ¡ Question Help * A pharmaceuical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and test 50 tablets, then accept the whole batch if there is only one or none that doesn't meet to undspe atins. one shipment of SOO sp ntablets act aly has a e% rate ofdelects, what step babil ythat this whole shipment wil be acepted? Wam sals shpe a ea etedorwil many ba rejected? The probability that this whole shipment wil be accepted i Round to four decimal places as needed.) Enter your answer in the arswer box and then click Check Answer

Explanation / Answer

Let p is the probability that tablets are defective

so p=6% =0.06

so q=1-p =1-0.06 =0.94

n=50

we use binomial distribution here

P=nCr p^r q^(n-r)

The lot is accepted if defect rate is 1 or less than one

So we have to find P(x<=1)

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

              =50C0 (0.06)^0 (0.94)^(50-0) + 50C1 (0.06)^1 (0.94)^(50-1)

              =1*1*0.94^50 + 50*0.06*0.94^(49)

              =0.04533 + 0.1446725

              =0.1900

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