The distribution company places its orders based on the expected value of the monthly demand. Each liter demanded generates an income of 70 pesos and each liter ordered costs 40 pesos. a) Find on average the company's profits in a month where the monthly demand was 3,000 liters. b) Find an interval around the mean that contains the monthly demand for 85% of the months. c) Find an interval around the mean that contains the firm's profits in 90% of the months.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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The distribution company places its orders based on the expected value of the monthly demand. Each liter demanded generates an income of 70 pesos and each liter ordered costs 40 pesos.
a) Find on average the company's profits in a month where the monthly demand was 3,000 liters.
b) Find an interval around the mean that contains the monthly demand for 85% of the months.
c) Find an interval around the mean that contains the firm's profits in 90% of the months.

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