Suppose a baseball player had 211 hits in a season. In the given probability distribution, the randon variable X represents the number of hits the player obtained in a game.
x,P(x)
0,0.1553
1,0.4843
2,0.2349
3,0.0821
4,0.0124
5,0.0310
compute and interpret the mean of the random variable x.
Mx=
Which of the following interpretations of the mean is correct?
A. the observed value of the random variable will almost always be equal to the mean of the random variable.
B. the observed value of the random variable will almost always be less than the mean of the random variable.
C. As the number of trials n increases, the mean of the observations will approach the mean of the random variable.
D. As the number of trials n decreases, the mean of the observations will approach the mean of the random variable.