Your analyses of Atlas Ltd$.$ and Crane Ltd have suggested that in the coming year the returns and the probabilities of their occurrence are expected to be as set out below.

Probability: $\mathrm{.}1,\mathrm{.}2,\mathrm{.}4,\mathrm{.}2,\mathrm{.}1$

Atlas $(\%)$: $-7,4,11,6,-2$

Crane $(\%)$: $-3,6,9,2,1$

$($i$)$ Calculate the expected returns for Atlas and Crane

$($ii$)$ Calculate the variance for Atlas and Crane

$($iii$)$ Determine the standard deviation of returns for each company

$($iv$)$ Calculate the covariance of the companies' returns