SOLUTION: Use the Empirical Rule to answer each question. During 1 week an overnight delivery company found that the weights of its parcels were normally distributed, with a mean of 32 ou

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Question 1133563: Use the Empirical Rule to answer each question.
During 1 week an overnight delivery company found that the weights of its parcels were normally distributed, with a mean of 32 ounces and a standard deviation of 8 ounces.
(a) What percent of the parcels weighed between 16 ounces and 40 ounces? (Round your answer to one decimal place.)

%
(b) What percent of the parcels weighed more than 56 ounces? (Round your answer to two decimal places.)
%

Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
z=(x-mean)/sd
lower z is (16-32)/8 or -2
upper z is (40-32/8 or +1
probability is 0.8186 or 0.8
>56 would be z>(56-32/8 or +3
this is probability 0.0013 or 0.00

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