An equity analyst is considering investing in two listed companies in Bursa Malaysia, Cloud Berhad $($Cloud$)$ and Point Berhad $($Point$).$ The expected returns on each of these two investments vary depending on economic conditions. The following table shows the expected returns and the likelihood of the economic conditions.

Economic conditions

Probability

Cloud returns $(\%)$

Point returns $(\%)$

Recession

$40\%$

$(8)$

$5$

Normal

$45\%$

$15$

$12$

Boom

$15\%$

$28$

$20$

a$)$ Based on the above, compute the followings:

i$)$ The expected return for Cloud and Point;

ii$)$ The standard deviation for Cloud and Point;

iii$)$ The correlation between Cloud and Point.