Answer:
And then we have the following parameters for the random variable Y
And the best option is:e. mean = $4.35, variance = $ .30.
Step-by-step explanation:
For this case we know the following info " The toll on the bridge is $3.00 per car plus $ .50 per person in the car"
So then we can create the following linear function:
Where Y represent the total amount of money that is collected from a car. And X represent the number of people in the car.
We have the parameters for the random variable X given by:
So then we can find the expected value for the random variable Y like this:
And if we replace the expected value for X we got this:
Now we can find the variance for the random variable Y like this:
We know that for a number we don't have variance since is a constant and the covariance between a number and a random variable is 0 so then we have just this for the variance of Y:
And then we have the following parameters for the random variable Y
And the best option is:e. mean = $4.35, variance = $ .30.