In the following probability distribution, the random variable x represents the number of activities a parent of a K to 5th-grade student is involved in. Complete parts (a) through (f) below. tom 2 3...

Extracted text: In the following probability distribution, the random variable x represents the number of activities a parent of a K to 5th-grade student is involved in. Complete parts (a) through (f) below. tom 2 3 4 P(x) 0.299 0.084 0.131 0.213 0.273 (a) Verify that this is a discrete probability distribution. This is a discrete probability distribution because the sum of the probabilities is 1 and each probability is between 0 and 1, inclusive. (b) Graph the discrete probability distribution. Choose the correct graph below. VA. OB. OC. OD. 0.5- 0.4- 0.5- 0.5- 0.57 0.4- 0.4- 0.4- 0.3- 02- 0.3- 0.3- 0.3- 0.2- 0.1- 0.2- 0.2- 0.1- 0.1- 0.1- 0- 0 1 2 3 0- 0 1 0- 2 3 4 (c) Compute and interpret the mean of the random variable x. The mean is 2.077 activities. . (Type an integer or a decimal. Do not round.) Which of the following interpretations of the mean is correct? A. As the number of experiments increases, the mean of the observations will approach the mean of the random variable. B. The observed value of an experiment will be equal to the mean of the random variable in most experiments. O C. As the number of experiments decreases, the mean of the observations will approach the mean of the random variable. O D. The observed value of an experiment will be less than the mean of the random variable in most experiments.