The random variable $X$ has the following discrete probability distribution: \begin{tabular}{|c|lc|] \hline \multicolumn{1}{]c[}{ Discrete Probability Distribution } \hline \hline$X$ & $P(x)$ \hline \hline $23.00$ & $0.01$ \hline $28.00$ & $0.42$ \hline $33.00$ & $0.19$ \hline $38.00$ & $0.06$ \hline $43.00$ & $0.02$ \hline $48.00$ & $0.10$ \hline $53.00$ & $0.20$ \hline \end{tabular) a) Find the expected value of random variable $X$. For full marks your answer should be accurate to at least two decimal places. Expected Value: 0 b) Find the variance of this discrete probability distribution. For full marks your answer should be accurate to at least two deciml places. Variance: c) Find the standard deviation of this discrete probability distribution. For full marks your answer should be accurate to at least two decimal places. Standard Deviation: 0 SP.VS.902||