Which of the following is a valid probability distribution?

Probability Distribution D

Step-by-step explanation:

We have to look at the general properties of a probability distribution to check the given probability distributions.

One of the main properties is:

"The sum of all probabilities should be equal to one."

The values are given at x-axis and probabilities are given along y-axis.

Lets look at the distributions one by one

Probability Distribution A:

The sum of all probabilities is 1.2 which makes it invalid

Probability Distribution B:

The sum of all probabilities is 1.6 which makes it invalid

Probability Distribution C:

The sum of probabilities is 0.9. Also not valid.

Probability Distribution D:

The sum of all probabilities is 1 so this distribution is valid ..

the figures below are made out of circles, semicircles, quarter … find the area and the perimeter of each figure and give your answers as a completely simplified exact value in terms of π (no approximations). remember that we'll also have to cut whatever areas we get in half, since we're only dealing im pretty sure that is the right answer

step-by-step explanation: