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. Ideal number of children data ..... (a) Construct a discrete probability distribution for the random variable x. x (# of children) Frequency D x (# of children) P(x) 1 29 2 534 1 242 4 67 16 3 4 6. (Round to three decimal places as needed.) Print Done (b) Draw a graph of the probability distribution. Choose the correct graph below. O A. Ов. Oc. O D. Ideal Number of Children Ideal Number of Children Ideal Number of Children Ideal Number of Children 0.6- 0.5- 0.4- 0.3- 0.2- 01 0- 0 1 2 3 4 56 0.6- 0.5- 0.4- 0.3- 0.2- 0.1- 0.6- 0.5- 0.4- 0.3- 0.2- 0.1- 06- 0.5- 0.4- 0.3- 0.2- 0.1- 0- 0 1 2 3 4 5 6 0 1 2 3 4 5 6 0 12 3 4 56 Number of Children Number of Children Number of Children Number of Children OTime Remaining: 02:12:03 DEC 1 CC 16 tv MacBook Air esc 80 DII DD F1 F2 F3 F4 F5 F6 F7 F8 F9 F10 F11 23 2$4 1 2 3 4 5 6 7 8. 9 Probability Probability Probability Probability point(s) possible 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. Ideal number of children data ..... Ideal Number of Children Ideal Number of Children Ideal Number of Children x (# of children) Frequency O 0.6- 0.5- 0.4- 0.3- 0.2- 0.1- 0- 0 1 2 3 4 5 6 0.6- 0.5- 0.4- 0.3- 0.2- 0.1- 0.6- 0.5- 0.- 0.3- 0.2- 0.1- 29 534 242 67 0 1 2 3 456 0 1 2 3 45 6 Number of Childre Number of Children Number of Children 16 (c) Compute and interpret the mean of the random variable X. The mean is children. (Round to one decimal place as needed.) Print Done 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. If many adults were surveyed, one would expect the mean ideal number of children to be the mean of the random variable. O C. The observed ideal number of children will be equal to the mean ideal number of children for most adults. 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. (d) Compute the standard deviation of the random variable X. The standard deviation is children. (Round to one decimal place as needed.) O Time Remaining: 02:11 DEC 16 étv J 280 MacBook Air 80 DII esc F11 F1 F2 F3 F4 F5 F6 F7 F8 F9 F10 # & 2 3 4 5 6. 7 8. 1123 45 6 * CO O5432 Probability CO5432 Probability 1.. Probability