A vending machine operator has determined that the number of candy bars sold per week by a certain machine is a random variable with mean 125 and standard deviation 7. His profit on each bar sold is $0.25, and it costs him $2.00 per day to maintain the machine and rent the space for it. What is the mean for Y

The mean for Y is $29.25 and this can be determined by using the given data and also by using the formula of mean.

Given :

The equation that represents the mean for Y is:

Y = 0.25x - 2

where x is the number of bars sold in a day.

Now, the mean is evaluated as given below:

where E(X) = 125

E(Y) = $29.25

Now, the standard deviation is given by the formula:

where .

For more information, refer to the link given below:

link

The answer is below

Step-by-step explanation:

Let Y represent the profit per day, and x represent the number of bar sold per day. Hence:

Y = 0.25x - 2

a) The mean is given as:

b) The standard deviation of y is: