Consider the following function:

$p_x(x)=\frac{v^x}{x!}$exp$(-v),x=0,1,2,$dots

$v$ in the above question is called a parameter.

Note: You may use any software $($e$.$g$.,$ Python, MATLAB, Excel$)$ to generate the requested plot. Be sure to include axis labels and a title.

a$)$ Is the function $p_x(x)$ discrete or continuous? Why?

b$)$ What type of plot is most appropriate for the function $p_x(x)$ over a range $0xn,$ assuming and $n$ are defined?

c$)$ Plot the function $p_x(x)$ over the range $0x10,$ assuming that $v=6.$ Insert your plot below.

d$)$ Using the same plot you made for part c$,$ add the function $p_x(x)$ over the range $0x10,$ assuming that $v=4.$ Insert your plot below. $($Both plots should be on the same graph.$)$

e$)$ What do you observe about the shape of the plot when you change the parameter's value?Consider the following function:

$p_x(x)=\frac{v^x}{x!}$exp$(-v),x=0,1,2,$dots

$v$ in the above question is called a parameter.

Note: You may use any software $($e$.$g$.,$ Python, MATLAB, Excel$)$ to generate the requested plot. Be sure to include axis labels and a title.

a$)$ Is the function $p_x(x)$ discrete or continuous? Why?

b$)$ What type of plot is most appropriate for the function $p_x(x)$ over a range $0xn,$ assuming and $n$ are defined?

c$)$ Plot the function $p_x(x)$ over the range $0x10,$ assuming that $v=6.$ Insert your plot below.

d$)$ Using the same plot you made for part c$,$ add the function $p_x(x)$ over the range $0x10,$ assuming that $v=4.$ Insert your plot below. $($Both plots should be on the same graph.$)$

e$)$ What do you observe about the shape of the plot when you change the parameter's value?