Question

112 pts) 7. If the average weight of a bag of pretzels is normally distributed with a mean of 16 ounces and a standard deviation of 3 ounce find the probability that a randomly selected bag of pretzels will contain between 15.6 and 16.4 ounces. Refer to the table.

Answer 1

som - near of No Mean of Normal distribution = 16 ounce Standard deviation of Normal distribution = 0.3 ounce Now the to two points is given by: - Plaza zb) - 50 (2-4728 20 da, where a mean ojan & o= Standard devia ation. Here U-16, O- 0.3, a=15.64 b = 16.4. - - Hence: 16.4 16.4 PL 15.6 2X=164) = 15.6 (4-16) -12-1613 6-18 dan 2 (0:3) 0.3 Jan doc - J 15.6 0.352T 16-4 116818 de e Ox 0:31 25Ų, 0.18 = (2-1673 16.4 2:18 212-16) 15.6 0.065 2 16.4-1870.8; = (65.6-16) 37 -2116-4-16) +2515-6-167 0.06 = 2-2 (0.1) , (0.16) 0.06 sē 018 Jan L=0.8 21-0.45 d -(0-16) e 0:18 0.8 1 - 00:16 0-12 – 210.06 Jaw) (0.8) Jat (0.8) And wey