Q7Single correct2 Marks13 Apr 2025

If X and Y are independent Poisson random variables, where $\mathbb{E}[Y]$ = 3 and $\operatorname{\operatorname{Var}}(4X - Y)$ = 83, then find $\mathbb{E}[X]$.

A

$21.5$

B

$20$

C

$5.38$

D

$5$