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?
Question
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 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?
Solution
The total amount of money per car collected entering the park is calculated by the cost per car (2.00) times the number of people in the car.
Given that the mean number of people per car (μX) is 3.2, we can calculate the mean cost per car (μY) as follows:
μY = 2.00 * μX μY = 2.00 * 3.2 μY = 6.40 μY = $26.40
So, the mean of the total amount of money per car that is collected entering the park is $26.40.
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