While playing Monopoly, Andi estimated the probabilities of the non-zero rents according to the following probability distribution: x P(x) $2 0.45 $14 0.15 $20 0.30 $100 0.10. (picture attached)...

While playing Monopoly, Andi estimated the probabilities of the non-zero rents according to the following
probability distribution:
x
P(x)
$2
0.45
$14
0.15
$20
0.30
$100
0.10. (picture attached)
Consider the random variable x = dollar amount in rent collected in a Monopoly roll.
a) If the table above specifies the probability distribution of x, what is the mean of the random
variable x?
b) If the probabilities are associated with the outcomes as in the table above, what is the
standard deviation of the random variable x?