In the following probability distribution, the random variable X represents the number of activities at least one parent of a K-5" grade student is involved in. 1 2 3 4. P(x) 0.075 0.293 0.131 0.278 0.223 0.5 0.4- 0.3- 0.2- 0.1- 0.5- 0.4- 0.3- 0.5- 04- 0.3- 0.2- 0.1- 0.5 0.4- 0.24후 0.1- 0.3- 0.2- 0.1- 01234 Number of Activities 0- 0123 4 0- 01234 Number of Activities 0- 01234 Number of Activities Number of Activities (b) Compute and interpret the mean of the random variable X Hx = 2.3 activities (Round to one decimal place as needed.) Which of the following interpretation of the mean is correct? O A. As the number of experiments n decreases, the mean of the observations will approach the mean of the random variable. B. As the number of experiments n increases, the mean of the observations will approach the mean of the random variable. O C. The observed value of the random variable will be equal to the mean of the random variable in most experiments. O D. The observed value of the random variable will be less than the mean of the random variable in most experiments. (c) Compute the variance of the random variable X. o= activities? (Round to one decimal place as needed.)