Logistics planner forecasts that the expected annual demand for radio batteries will be 20,000 units. The analysis suggests that there is an 80% probability that the value will be between 15,000 and 25,000 units. And a plot of the underlying data indicates that the demand curve is for all practical purposes a normal curve. (Numeric answers to three decimal points.)

Question
answer

.a. Sketch the distribution. Be sure to label the units, and to show the mean and the standard deviation.

(use a separate sheet)

.b. What is the probability that the demand will be 18,570 batteries?

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.c. What is probability that the demand will be less than 18,000 batteries?

?

.d. What is the probability that the demand will be greater than 16,250 batteries?

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.e. What is the probability that the demand will be between 22,000 and 17,750 batteries?
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.f. The batteries cost $7.50 each. The budget is $125,000. How many batteries can we purchase?
16666.667