The manager of a health food store has determined that the weekly demand for a p
ID: 3048721 • Letter: T
Question
The manager of a health food store has determined that the weekly demand for a popular type of granola (X) is a normally distributed random variable with mean = 85 pounds and standard deviation = 5 pounds. The manager notices that over the last month, the weekly demands have been slightly higher than usual. She decides that if the total demand over the next 2 weeks, X1 + X2, is greater than 180 pounds, the stock on hand for each week will be increased. Assuming that the weekly demand has the given distribution, and that the demand in any week is independent of the demand in any other week, what is the probability that the total demand over the next two weeks will exceed 180 pounds?
Explanation / Answer
here for two weeks expected demand =85+85 =170
and due to indepence std deviation =(52+52)1/2 =7.0711
probability that the total demand over the next two weeks will exceed 180 pounds:
for normal distribution z score =(X-)/ here mean= = 170.000 std deviation == 7.0711Related Questions
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