contestada

Suppose that random variable
X
X
is uniformly distributed between 5 and 22. Draw a graph of the density function, and then use it to help find the following probabilities:

Respuesta :

LammettHash
The density function is just the piecewise function,

[tex]f_X(x)=\begin{cases}\dfrac1{22-5}=\dfrac1{17}&\text{for }5\le x\le22\\0&\text{otherwise}\end{cases}[/tex]

i.e. a rectangle of height [tex]\dfrac1{17}[/tex] and length 17 plotted over the interval [tex][5,22][/tex]. Any probabilities that you need to find are then areas of smaller rectangles.