Question

12. A beer distributor believes the amount of beer in a 12-ounce can of beer has a normal distribution with a mean of 12 ounces and a standard deviation of 1 ounce. If a 12-ounce beer can is randomly selected, find the following probabilities. a. The probability that the 12-ounce can of beer will actually contain less than 11 ounces of beer. b. The probability that the 12-ounce can of beer will actually contain more than 12.5 ounces of beer. The probability that the 12-ounce can of beer will actually contain between 10.5 and 11.5 ounces of beer.

Answer 1

Answer:---- Date:---05/11/2019

Sono x: amount of beer in a 12-ounce can of beer. asid X~Nu = 12,1), ay p[X <!] := P[ x_4..1-4 7 = P[Z€ 11-12] = P[73-1) = (-1) [oo zu. N(0,1) ...30.15865 ☺ ©.c.df of een N10117 by p[x> 12.5] = 1 – P[<<12:5] =1=P[ X-Me < 12:5-12] =1-P(Z < 0.5] =1-0 10:5) = 1-0.691462 = 0.308538 oy P[10:56x31.5] =P[x (10.5] -P[x510.5] = P[7.<-005] - P[z< -1.5] = (-0.5) - P1 -1.5) = 0.308538-0.066807 - 0.24173