As part of its census, a country keeps record of the number of vehicles available to each household.Using this information, it is calculated that, when a household is chosen at random from the country, the probability distribution of the number of vehicles available is shown below.

Number of Vehicles

0

1

2

3

Probability

0.32

0.42

0.17

0.09

A. Calculate and interpret the mean number of vehicles per household in this country.

B. Calculate and interpret the standard deviation of the number of vehicles available to households.

C. The unit of currency for this country is the guilder.The government imposes a monthly tax of 320 guilders per household, plus 180 guilders for each vehicle available to the household.Using your answers to parts A and B, calculate the mean and the standard deviation of the monthly tax amount (in guilders) for a randomly chosen household.