Complete the following exercises in MATLAB and upload your code $(.$m file or screensnot$)$ to Canvas, along with the requested output$/$plot$.$

The random variable $x$ has the PMF:

$P_x(x)=\{\begin{array}{ccc}\frac{c}{x},& x=2,4,& 8\\ 0& \text{o}\text{t}\text{h}\text{e}\text{r}\text{w}\text{i}\text{s}\text{e}& \end{array}$

$($a$)$ What is $]=[4?$

$($b$)$ What is $][4?$

$($c$)$ Plot the PMF using the pmfplot function.

$2.$ In a package of M&M$\text{'}$s$,Y,$ the number of yellow M&Ms$,$ is uniformly distributed between $5$ and $15.$

$($a$)$ What is $]=[10?$

$($b$)$ What is $][10?$

$($c$)$ Generate $100$ "packages of M&M$\text{'}$s$"$ using the appropriate random samples function. Make a histogram plot to show your results $($hint: change the number of bins to $11$ for better visualization$).$

$($d$)$ Repeat part d$,$ but this time generate $1000$ "packages of M&M$\text{'}$s$".$ Make a histogram plot to show your results. What do you notice about your results?