Question

The blank is the question I'm confused about. Thanks.

Suppose a baseball player had 213 hits in a season. In the given probability distribution, the random variable X represents the number of hits the player obtained in a game. x L 0 I 1 I 2 3 4 5 - P(x) 0.1074 0.49710.2429 0.1123 0.0267 | 0.0136 (a) Compute and interpret the mean of the random variable X. Hy = 3.2 hits (Round to one decimal place as needed.) Which of the following interpretations of the mean is correct? O A. As the number of experiments increases, the mean of the observations will approach the mean of the random variable. OB. The observed value of an experiment will be less than the mean of the random variable in most experiments, O C. The observed value of an experiment will be equal to the mean of the random variable in most experiments. O D. As the number of experiments decreases, the mean of the observations will approach the mean of the random variable. (b) Compute the standard deviation of the random variable X. Ox = hits (Round to one decimal place as needed.)

Answer 1

solution Y 2 PCY) O 0267 0013 6 0I02429 0 123 o107 04858 0 3369tO l068 to06 Oto4 -4866 15 Lonu decimal) YAPCX)= 0t I*0-4971 402429+90123 +16 *002 t 2500136 0.9716 1 0107 +04272 0 3Y o+0.4971 32466

3au6-4866 3-2y 66 ( 103662 L 018