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.

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq

step-by-step explanation:

b and c