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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

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Answer: $10.50

Step-by-step explanation:

Given the following :

Number of people entering the park = X

Mean number of people = 3

Fixed admission fee = $6

Additional fee per passenger = $1.50

Therefore, mean total paid by a car entering the park :

MEAN Total = Admission fee + (additional fee * mean number of people entering the park)

mean Total = $6 + ($1.50 * 3)

Mean total = $6 + $4.50 = $10.50

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