2 The continuous random variable \(Y\) has probability density function \(\mathrm { f } ( y )\) where
$$\int _ { - \infty } ^ { \infty } y \mathrm { f } ( y ) \mathrm { d } y = 16 \text { and } \int _ { - \infty } ^ { \infty } y ^ { 2 } \mathrm { f } ( y ) \mathrm { d } y = 1040$$
Find the standard deviation of \(Y\)
Circle your answer. [0pt]
[1 mark]
28
32
784
1024