In the following probability distribution, the random variable x represents the number of activities a parent of a 6th- to 8th-grade student is involved in. Complete parts (a) through (1) below. 0 2 3 4 P(x) 0.197 0.185 0.129 0.082 0.407 (a) Verify that this is a discrete probability distribution. This is a discrete probability distribution because the sum of the probabilities is and each probability is (b) Graph the discrete probability distribution, Choose the correct graph below. O A O B O c. OD. 0.5- 0.5- 0.4- 0.5- 04- 0.5- 0.3- 0.4 0.3- 0.4- 0.2- 0.3- Q 0.2- 0.3 0. 0. 0.2- (c) Compute and interpret the mean of the random variable x. The mean is activities. (Type an integer or a decimal, Do not round.) Which of the following interpretations of the mean is correct? O A. The observed value of an experiment will be less than the mean of the random variable in most experiments. O 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 increases, the mean of the observations will approach the mean of the random variable. O D. As the number of experiments decreases, the mean of the observations will approach the mean of the random variable. Next