Consider a small ferry that can accommodate cars and buses. The toll for cars is $3, and the toll for buses is $10. Let X and Y denote the number of cars and buses, respectively, carried on a single trip. The joint pmf of X and Y is given in the table below.

p(x, y)	y
0	1	2
x	0	0.040	0.100	0.060
1	0.050	0.125	0.075
2	0.020	0.050	0.030
3	0.020	0.050	0.030
4	0.010	0.025	0.015
5	0.060	0.150	0.090

It is readily verified that X and Y are independent.

(a) Compute the expected value, variance, and standard deviation of the total number of vehicles on a single trip. (Round your standard deviation to two decimal places.)

expected value (vehicles):

variance:

standard deviation (vehicles):

(b) If each car is charged $3 and each bus $10, compute the expected value (in $), variance, and standard deviation (in $) of the revenue resulting from a single trip. (Round your standard deviation to two decimal places.)

expected value ($):

variance:

standard deviation ($):