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 (1) below 1 2 0.095 0.281 3 0.291 05 044 0 0079 P(x) (a) Verify that this is a discrete probability distribution This is a discrete probability distribution because the sum of the probabilises isand each probability is (b) Graph the discrete probability distribution. Choose the correct graph below. OA OB. 03- 024 0.1- a 4 0254 Q 05 04 0.3 02 $1 o da OC 0.5 044 03 03 ddu OD 9.51 04- 43 92 du (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? OA. As the number of experiments decreases, the mean of the observations will approach the mean of the random variable OB. The observed value of an experiment will be equal to the mean of the random variable in most experiments OC. As the number of experiments increases, the mean of the observations will approach the mean of the random variable OD. The observed value of an experiment will be less than the mean of the random variable in most experiments (d) Compute the standard deviation of the random variable x The standard deviation is activities (Round to one decimal place as needed) The standard deviation is activities (Round to one decimal place as needed) (e) What is the probability that a randomly selected student has a parent involved in three activities? The probability is (Type an integer or a decimal Do not round) (t) What is the probability that a randomly selected student has a parent involved in three or four activities? The probability is (Type an integer or a decimal Do not round)