Generate a random sample of size $30$ from the Normal distribution with mean $3$ and standard deviation $1.$ Construct a $6$ by $5$ matrix M from this data vector so that the data fills the matrix in row order. Write single expressions to do each of the following. Print the result, if needed for checking, in a separate expression. $($a$)$ How many elements in this matrix M are less than $3?($b$)$ Extract the elements that are less than $3$ in the matrix. $($c$)$ Make a copy of the original matrix M$,$ name it N$.$ Then replace the elements that are less than $3$ with value $0$ in N$.($d$)$ Append the vector $(1,2,3,4,5,6)$ to the right$-$hand side of the matrix Q$.$ Call the result X$.$