In getting crowd for a consumer exhibition, the organizer runs a lucky draw during the event. Out of a total of 5,000 tickets printed for this lucky draw, 500 tickets contain a prize of $5 each, 50...

In getting crowd for a consumer exhibition, the organizer runs a lucky draw during
the event. Out of a total of 5,000 tickets printed for this lucky draw, 500 tickets
contain a prize of $5 each, 50 tickets have a prize of $10 each, 5 tickets have a prize
of $1000 each, and 1 ticket has a prize of $10,000.
Let x be the random variable that denotes the amount of prize a participant may win
by playing this lucky draw.
i. Compute the probability distribution of x, P(x).

X
P(X)

ii. Determine the mean and standard deviation of x.