   Chapter 9.3, Problem 24E ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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# Finding the Mean and Median In Exercises 23-28, find the mean and median of the probability density function. See Example 4. f ( x ) = 0.05 , [ 0 , 20 ]

To determine

To calculate: The mean and median of the probability density functions f(x)=0.05.

Explanation

Given Information:

The probability distribution function is,

f(x)=0.05, where the interval is [0,20].

Formula used:

The formula to find the mean of probability distribution function is:

μ=abxf(x)dx

where, μ is mean or expected value of probability distribution function f(x), [a,b] is given interval.

The formula to find the median, for probability distribution function f(x) is median of x is number m such that amf(x)dx=0.5.

Calculation:

Consider the given equation

f(x)=0.5;x[0,20]

Consider the primary equation to find mean, μ=abxf(x)dx

Now substitute 0.5 for f(x) and interval a=0,b=20 is primary equation,

μ=020x(0.05)dx

Now, Integrating primary equation

μ=020x(0

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