Question

A government entity sets a Food Defect Action Level (FDAL) for the various foreign substances that inevitably end up in the foods we eat. The FDAL level for insect filth in peanut butter is 0.6 insect fragment (larvae, eggs, body parts, and so on) per gram. Suppose that a supply of peanut butter contains 0.6 insect fragment per gram. Compute the probability that the number of insect fragments in a 8-gram sample of peanut butter is (a) exactly six. Interpret the results (b) fewer than six. Interpret the results. (c) at least six. Interpret the results (d) at least one. Interpret the results. (e) Would it be unusual for a 8-gram sample of this supply of peanut butter to contain eight or more insect fragments?

Answer 1

Solutor Le andou variate te cangunet munbey distreibutiou. Rllows Peiseion 00746 28 0 209 So tie Prcbaloihy t Pean ut ram nset feagueent is buttes Contains O 209 P(XL6 - Px-PC) P 1-@4S 8 x 0 1S 1- 28 x 0'00146 1 x O 016 1- o209+ 0'089+ =1-0 315 0 685 Peanut bu Hex The Probabi ty thot 1ram of fewey than 6 insecl fragment is 0.685 Contaun

A PCK8 P(X-Gr P-D TAYG) (o 2.8 x000 746 xO'9 xo6167 6394 o O1G 209 315 eanut ut e x The Probabiu at nsed raent o315 adleast Leutein P (x, 0.999 grana The Probasiu that in se ct fauen is O999 1 contarn atleast (e P(x 8)1-PCX23) P(X8) P(x-8)

1- (1-P(x )) (3Kx) d PCX- of Peunud fer al :. is Posslole but S-1anent insect haue 2utter Can hod canl be more