The accompanying data represent the ideal number of children for a random sample of 900 adults. Complete parts (a) through (d) below. Click the icon to view the data about ideal numbers of children. (a) Construct a discrete probability distribution for the random variable x. x (# of children) P(x) AWN 5 (Round to three decimal places as needed.) (b) Draw a graph of the probability distribution. Choose the correct graph below. O A. O B. O c. O D. Ideal Number Ideal Number Ideal Number Ideal Number of Children of Children of Children of Children Q 0.4 Probability Probability Probability Probability 0 1 2 3 4 56 012 3 456 0123456 0123456 Number of Children Number of Children Number of Children Number of Children (c) Compute and interpret the mean of the random variable X. The mean is children. (Round to one decimal place as needed.) Which of the following interpretations of the mean is correct? O A. If any number of adults were surveyed, one would expect the mean ideal number of children to be the mean of the random variable. O B. The observed ideal number of children will be equal to the mean ideal number of children for most adults O C. If many adults were surveyed, one would expect the mean ideal number of children to be the mean of the random variable. O D. The observed ideal number of children will be less than the mean ideal number of children for most adults. (d) Compute the standard deviation of the random variable X. The standard deviation is | children. (Round to one decimal place as needed.)