The accompanying data represent the ideal number of children for a random sample of 900 adults. Complete parts (a) through (d) below. O Ideal Number of Children Data - m 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) Frequency n x ( of children) P(x) 31 532 243 66 17 3. 4. 3 5 Print Done 6 (Round to three decimal places as needed.) (b) Draw a graph of the probability distribution. Choose the correct graph below. OA. OB. Oc. . OD. Ideal Number of Children Ideal Number of Children Ideal Number of Children Ideal Number of Children Number of Chidren Number of Chidren Number of Chren Number of Chien (e) Compute and interpret the mean of the random variable X. The mean ischildren. (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. If many adults were surveyed, one would expect the mean ideal number of children to be the mean of the random variable. OC. The observed ideal number of children will be equal to the mean ideal number of children for most adults. 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 children. (Round to one decimal place as needed.)

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.