"Question $2_{,}{?}_{?}$ this is related to information above

A certain type of bet at a casino gives the casino an average profit of $$90$ with standard deviation

$$160$

based on your sample of $72900$ bets

a$)$ What is the distribution of individual bets $x,$ left skewed, right skewed or symmetric?

b$)$ what is $|\frac{x}{b}ar-90|$

c$)$ what is $2|\frac{x}{b}ar-90|$

d$)$ what is the probability that another sample will have a lower sample mean

in other words if $=90,=9$ and $n=72900$ what is the probability that xbar is below $$????$

d$)$ using your sample mean, $n=72900$ and $=2430$ test the claim the mean is different to $$90$

e$)$ using your sample mean, $n=72900$ and $=2430$ find a $????$ th confidence interval for the mean