Let T denote the time in minutes for a customer service representative to respond to 10 telephone inquiries. T is uniformly distributed on the interval with endpoints 8 minutes and 12 minutes. Let R denote the average rate, in customers per minute, at which the representative responds to inquiries. What is the density function for the random variable R on the interval 10/12 <= r <= 10/8

The answer is ""

Step-by-step explanation:

They have the distributional likelihood function of T:

This is the following PDF of transformation

They know that PDF is the Y=g(X) transformation

Using theformula, the PDF of   is

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

chad should not have included the values (1, 2) and (3, 6) because that would mean he only had half a healing card.