1. You decided to conduct a survey of families with two children. You are interested in counting the number of boys (out of two children) in each family. Suppose the random variable x denotes the number of boys, a. what are the possible values of the random variable x? b. Is the random variable discrete or continuous?2. In each case below, identify the random variable and classify it as discrete or continuous: a. the Juan has 15 siblings. b. the duration (in minutes) of long-distance call c. the number of senators present in the meeting d. the area of lots in a subdivision e. the capacity of an auditorium3. If one card is drawn at random from a standard 52 playing cards, what is the probability that the card drawn is a. an ace b. a red king c. a queen d. a spade e. a face card