The number of people entering a state park is a random variable X with a mean of 3 and a variance of 2. The admission to the park is $6 per car plus an additional $1.50 per person in the car.What is the mean of the total amount of money collected for a car entering the park? Report your answer to two decimal places. Do NOT include a dollar sign ($) when reporting your answer.

Safari Adventure Theme Park is a self­guided theme park in which people drive through a park filled with African wildlife. They are given a map and a written guide to the wildlife of the park. They charge $20.00 per car plus $2.00 per person in the car. The number of people per car can be represented by the random variable X which has a mean value μX = 3.2, and a variance σ2x = 1.4. What is the mean of the total amount of money per car that is collected entering the park?

The number of people in a car that crosses a certain bridge is represented by the random variable X, which has a mean value μX = 2.7, and a variance σ2X = 1.2. The toll on the bridge is $3.00 per car plus $0.50 per person in the car.What is the mean of the total amount of money that is collected from a car that crosses the bridge? Report your answer to two decimal places

What is the variance of the total amount of money that is collected from a car that crosses the bridge? Report your answer to two decimal places.

A national park has 2 entrance gates, one at the north end and a second gate at the south end of the park. Let X be the number of cars entering the North gate per hour and let Y be the number of cars entering the South gate per hour. Assume that X is random variable with mean μx = 23 and standard deviation σx = 3. Assume Y is a random variable with mean μy = 18 and standard deviation σy = 4. Assume that the two gates operate independently.What is the mean of Z, the total number of cars entering the park each hour?

A big department store has two entrance doors, one on 5th Ave. and the other on 6th Ave. The number of shoppers who enter the store through the 5th Ave. door in an hour, X, has mean of μX = 25 and standard deviation σX = 5, and the number of shoppers who enter the store through the 6th Ave. door in an hour, Y, has a mean of μY = 35, and standard deviation of σY = 8. Let the random variable T be the total number of shoppers who enter the store in an hour.What is μT, the mean of T?30421060Assuming that shoppers enter the store through the two doors independently, what is σT, the standard deviation of T?1389sqrt(13), or the square root of 13sqrt(89), or the square root of 89