n 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 (f) below. 2 3 4...

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Extracted text: n 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 (f) below. 2 3 4 P(x) 0.284 0.084 0.309 0.084 0.239 (Type an integer or a decimal. Do not round.) Which of the following interpretations of the mean is correct? O A. As the number of experiments increases, the mean of the observations will approach the mean of the random variable. O B. The observed value of an experiment will be less than the mean of the random variable in most experiments. O C. The observed value of an experiment will be equal to the mean of the random variable in most experiments. O D. As the number of experiments decreases, the mean of the observations will approach the mean of the random variable. (d) Compute the standard deviation of the random variable x. 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.)