There are four different colored balls in a bag. There is equal probability of selecting the red, black, green, or blue ball. What is the expected value of getting a green ball out of 20 experiments with replacement?

The expected value is of 5 green balls.

Step-by-step explanation:

For each experiment, there are only two possible outcomes. Either it is a green ball, or it is not. Since there is replacement, the probability of a green ball being taken in an experiment is independent of any other experiments, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

The expected value of the binomial distribution is:

20 experiments

This means that

There is equal probability of selecting the red, black, green, or blue ball.

This means that 1 in 4 are green, so

What is the expected value of getting a green ball out of 20 experiments with replacement?

The expected value is of 5 green balls.

f(x) is the value of the function. b is the value of the function when x equals zero or the y-coordinate of the point where the line crosses the y-axis in the coordinate plane.

step-by-step explanation:

hope this !