X P(x)0 0.16871 0.33682 0.28213 0.14934 0.03855 0.0246

In the probability distribution to the right, the random variable X represents the number of hits a baseball player obtained in a game over (f) below. (a) Verify that this is a discrete probability distribution. This is a discrete probability distribution because between and ]. inclusive, and the (Type whole numbers. Use ascending order.) (b) Draw a graph of the probability distribution. Describe the shape of the distribution. Graph the probability distribution. Choose the correct graph below. O A. O B. O C. 0.4 Q 0.4. 0.4 *0.3- 0.3- 0.3- 0.2- Probability 0.2- Probability 0.2- 0.1- offrell 012345 012345 012345 Number of Hits Number of Hits Number of Hits Describe the shape of the distribution. The distribution and is (c) Compute and interpret the mean of the random variable X. Hx = hits (Type an integer or a decimal. Do not round.) Which of the following interpretations of the mean is correct? O A. In any number of games, one would expect the mean number of hits per game to be the mean of the random variable. O B. Over the course of many games, one would expect the mean number of hits per game to be the mean of the random variable. O C. The observed number of hits per game will be less than the mean number of hits per game for most games. O D. The observed number of hits per game will be equal to the mean number of hits per game for most games. (d) Compute the standard deviation of the random variable X. "x = hits (Round to three decimal places as needed.) (e) What is the probability that in a randomly selected game, the player got 2 hits