Solve the following problem in MATLAB:$($a$)$ Ask MATLAB to generate a vector, x$,$ of length $10000$ with all entries being independently$$and identically distributed as uniform from $0$ to $2.($b$)$ Compute the vector w $=$ x$$x where $$ denotes the element$-$wise multiplication, alternatively$$known as the Hadmard product, of two vectors. Note that the MATLAB operator$*$ does not calculate the element$-$wise product.$($c$)$ Compute the vector v $=1/$x where $1$ is a vector of all ones the same size as x$,$ and $/$denotes element$-$wise division, alternatively known as Hadamard division. Note that the$$MATLAB operator $/$ does not perform element$-$wise division.$($d$)$ Plot histograms of the distribution of the values of and vectors. Ensure that you have$$at least $100$ bins of values. You will find the matlab $$histogram$$ function useful. Adjust$$the histograms so that at least $100$ bins of with significant counts of samples are shown.$($e$)$ Analytically compute the probability density functions $($pdfs$)$ for the random variables$$W $=$ X$2$ and V $=1/$X where X is a random variable with a uniform density ranging$$from $0$ to $2$:$$p $($X $=$ x$)=0$ x $<0120<=$ x $<=20$ x $>2.$Plot these pdfs and ensure that they are consistent with the histograms created in part$($d$).$ You may find it useful to compute the cumulative distribution functions $($cdfs$)$ and$$use the bin edges from the histograms.