In the probability distribution to the right, the random variable X represents the number of hits a baseball player obtained in a game over the course of a season.
x P(x)
0 0.1666
1 0.3366
2 0.2834
3 0.1495
4 0.0382
5 0.0255

a. Verify that this is a discrete probability distribution.
b. Draw a graph of the probability distribution. Describe the shape of the distribution.

Details below

Step-by-step explanation:

Discrete Probability Distribution

A discrete distribution can be identified because it only exists for certain values of x and not in between them. The graph of a discrete probability distribution should not be a continuous line, but a limited amount of points or a bar-shaped graph.

a. To numerically verify this is a discrete probability distribution, it's enough to sum the individual probabilities for each value of x. It should sum 1.

b. The graph of the probability distribution is shown in the image below. Its shape is close to the bell curve but skewed (not symmetric) to the left

the answer is d

step-by-step explanation:

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