Question

Assume that the weights of bananas follow a Normal distribution with a mean of 118 grams, and a standard deviation of 12 grams. Suppose that a store receives weekly shipments of 8 Bananas. The store owner will reject the shipment if the average weight is below 116.18g. What is the probability that the next shipment of Bananas is accepted by the store owner?

Select one:

a. 0.6664

b. 0.4300

c. 0.3336

d. 0.1119

e. We cannot answer this question with the information given.

Answer 1

Weights of bananas x Weight of bananas X N. N (118,12) N N (118, 12/56) X-118 N NCoi) 12/18 X z = Rej al if X2 116.18 Ac f x>116.18 To find P(X> 116.18 ) = P(Z - 1 (16.18-118 12/88 P(Z > -0.43) I symmetry P(-0-43 C2 LOP+P (OLZLO) = Plocico.43) + 0. +0.5) - from tables. 0 6664 = 0.1664 + 0.5 apoyo