How do you find the height of a uniform distribution

Asked by admin @ 29/10/2021 in Mathematics viewed by 273 People

A random variable X follows the continuous uniform distribution with a lower bound of −4 and an upper bound of 18. a. What is the height of the density function f(x)

Answered by admin @ 29/10/2021

Answer:

The height of the density function is $\frac{1}{22}$

Step-by-step explanation:

Given : A random variable X follows the continuous uniform distribution with a lower bound of −4 and an upper bound of 18.

To find : What is the height of the density function f(x)?

Solution :

According to question,

The height of the density function is given by,

$f(X)=\frac{1}{b-a}$

Where, a is the lower bound a=-4

b is the upper bound b=18

Substitute the value in the formula,

$f(X)=\frac{1}{18-(-4)}$

$f(X)=\frac{1}{18+4}$

$f(X)=\frac{1}{22}$

Therefore, The height of the density function is $\frac{1}{22}$

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