Question

A box is to be constructed so that its height is five inches and its base is Y inches by Y inches, where Y is a random variable described by the pdf, fY(y) = 6y(1 - y), 0

Answer 1

To find the base of the box, determine the value of Y by maximizing the pdf fY(y) = 6y(1 - y) using the vertex of the parabola.

Step-by-step explanation:

The subject of this question is Mathematics as it involves the construction of a box based on certain specifications.

To find the base of the box, we need to determine the value of Y. We are given the pdf of Y as fY(y) = 6y(1 - y). To find the base, we need to find the value of Y that maximizes fY(y).

Since fY(y) = 6y(1 - y) is a quadratic function, we can find the vertex of the parabola to determine the value of Y that maximizes it.