a bag contains 3 red balls and 1 blue ball. what is the expected number of red balls in the first bag

Step-by-step explanation:

Given

Required

Determine the expected number of red balls

First, we calculate the probability of a red ball

The expected value is then calculated as:

ANSWER

The two functions have the same range.

EXPLANATION

The given function is

Let:

We solve this equation for x,

x is defined for:

Hence the range is

Also,

Let

The range for this function is also,

Hence the two functions have the same range