The accompanying data represent the ideal number of children for a random sample of 900 adults. Complete parts (al through (d) below. IT Click the icon is whow the data about ideal numbers of children Ideal Number of Children Data X (a] Construct a discrete probability distribution for the randon variable it. |! of children)| Pill a [ of children) Frequency Round to three decimal places as needed ) Print Done (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. The observed ideal number of children will be less than the mean ideal number of children for most adults. 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. If any number of adults were surveyed, one would expect the mean ideal number of children to be the mean of the random variable. Click to select your answer(s). (d) Compute the standard deviation of the random variable X. The standard deviation is children. (Round to one decimal place as needed.) Click to select your answer(s)