Chapter 9.2, Problem 39E

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10th Edition

Ron Larson

ISBN: 9781305860919

Textbook Problem

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**Demand** Using the probability density function in Exercise 38, determine the number of tons that should be ordered each week so that the demand can be met for 90% of the weeks.

**Demand** The weekly demand *x* (in tons) for a certain product is described by the probability density function

Find and interpret each probability.

To determine

**To calculate:** The number of tons that should be ordered each week so that demand can be met for

Explanation

**Given Information:**

The weekly demand *x* for a certain product is described by the probability density function,

**Formula used:**

Integration by parts.

When *u* and *v* is assumed to be the differentiable functions of *x* then,

**Calculation:**

Consider the exponential probability density function,

In order to calculate the number of tons integrate

Thus,

In order to solve the integral

Let

Apply integral on both sides of the above equation as,

Thus,

Then differentiate both sides of the equation

Substitute

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