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. Complete parts​ (a) through​ (f) below. x ​P(x)

0 0.1663 1 0.3353 2 0.2865 3 0.1484 4 0.0381 5 0.0254 Question content area bottom Part 1 ​(a) Verify that this is a discrete probability distribution. This is a discrete probability distribution because all of the probabilities are between    0 and    1​, ​inclusive, and the sum of the probabilities is    1. ​(Type whole numbers. Use ascending​ order.) Part 2 ​(b) Draw a graph of the probability distribution. Describe the shape of the distribution. Graph the probability distribution. Choose the correct graph below. A. 0 1 2 3 4 5 0 0.1 0.2 0.3 0.4 Number of Hits Probability

The graph of a probability distribution has a horizontal x-axis labeled "Number of Hits" from 0 to 5 in intervals of 1 and a vertical y-axis labeled "Probability" from 0 to 0.4 in intervals of 0.05. Vertical line segments are centered on each of the horizontal axis tick marks. The approximate heights of the vertical line segments are as follows, with the horizontal coordinate listed first and the line height listed second: 0, 0.03; 1, 0.04; 2, 0.15; 3, 0.29; 4, 0.34; 5, 0.17. B. 0 1 2 3 4 5 0 0.1 0.2 0.3 0.4 Number of Hits Probability

The graph of a probability distribution has a horizontal x-axis labeled "Number of Hits" from 0 to 5 in intervals of 1 and a vertical y-axis labeled "Probability" from 0 to 0.4 in intervals of 0.05. Vertical line segments are centered on each of the horizontal axis tick marks. The approximate heights of the vertical line segments are as follows, with the horizontal coordinate listed first and the line height listed second: 0, 0.15; 1, 0.04; 2, 0.03; 3, 0.17; 4, 0.34; 5, 0.29. C. 0 1 2 3 4 5 0 0.1 0.2 0.3 0.4 Number of Hits Probability

The graph of a probability distribution has a horizontal x-axis labeled "Number of Hits" from 0 to 5 in intervals of 1 and a vertical y-axis labeled "Probability" from 0 to 0.4 in intervals of 0.05. Vertical line segments are centered on each of the horizontal axis tick marks. The approximate heights of the vertical line segments are as follows, with the horizontal coordinate listed first and the line height listed second: 0.34; 1, 0.15; 2, 0.03; 3, 0.17; 4, 0.29; 5, 0.04. D. 0 1 2 3 4 5 0 0.1 0.2 0.3 0.4 Number of Hits Probability

The graph of a probability distribution has a horizontal x-axis labeled "Number of Hits" from 0 to 5 in intervals of 1 and a vertical y-axis labeled "Probability" from 0 to 0.4 in intervals of 0.05. Vertical line segments are centered on each of the horizontal axis tick marks. The approximate heights of the vertical line segments are as follows, with the horizontal coordinate listed first and the line height listed second: 0, 0.17; 1, 0.34; 2, 0.29; 3, 0.15; 4, 0.04; 5, 0.03. Your answer is correct. Part 3 Describe the shape of the distribution. The distribution has one mode and is skewed right. Part 4 ​(c) Compute and interpret the mean of the random variable X. mu Subscript Upper Xequals    enter your response here hits ​(Type an integer or a decimal. Do not​ round.)