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)

Answer:The  height of the density function is [tex]\frac{1}{22}[/tex]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,[tex]f(X)=\frac{1}{b-a}[/tex]Where, a is the lower bound a=-4b is the upper bound b=18Substitute the value in the formula,[tex]f(X)=\frac{1}{18-(-4)}[/tex][tex]f(X)=\frac{1}{18+4}[/tex][tex]f(X)=\frac{1}{22}[/tex]Therefore, The  height of the density function is [tex]\frac{1}{22}[/tex]