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) 0 1 2 3 4 5 6 (Round to three decimal places as needed.) Ideal Number of Children Data x (# of children) Frequency 0 11 1 30 2 511 3 256 4 72 5 17 6 3 Print Done (b) Draw a graph of the probability distribution. Choose the correct graph below. OA Ideal Number of Chan Q a OB. Ideal Number of Children a G 3466 Number of Chan 6155466 Number of Children (c) Compute and interpret the mean of the random variable X. The mean is 3 children. (Round to one decimal place as needed.) C. Ideal Number Q of Children a 0123466 Number of Children 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. 013 Number of Chad 18 0125466 Number of Children 6123466 Number of Children (c) Compute and interpret the mean of the random variable X The mean is 3 children. (Round to one decimal place as needed.) Which of the following interpretations of the mean is correct? OA. The observed ideal number of children will be less than the mean ideal number of children for most adults. OB. The observed ideal number of children will be equal to the mean ideal number of children for most adults. OC. If many adults were surveyed, one would expect the mean ideal number of children to be the mean of the random variable. OD. If any number of adults were surveyed, one would expect the mean ideal number of children to be the mean of the random variable. (d) Compute the standard deviation of the random variable X The standard deviation is 22 children. (Round to one decimal place as needed.) OD. Ideal Number of Chidre Number of Chin 0125466 Number of Children G