Question

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.

Answer 1

68765x788x is the answer

Answer 2

Details below

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.

`P_t=0.1666+0.3366+0.2834+0.1495+0.0382+0.0255\approx 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