1. Let X be a random variable that denotes the number of passengers in a train station for a given hour. What are the possible values of X? 2. A family has four children. If X is a random variable that pertains to the number of female children, what are the possible values of X? 3. Two dice are rolled at the same time. The first die shows a 2. Given that X is a random variable that represents the sum of the results shown by the two dice, what are the possible values of X? 4. A random variable X denotes the number of consumers in a sample of 300 who favor a particular product over all competitors. What are the possible values of X? 5. A school nurse records the height of all the students in the school. If X is a random variable representing the height of the students, what are the possible values of X? .For each of the following scenarios, give an example of a discrete and a continuous random variable. The first one is done as an example. Scenario Taking a quiz Discrete Random Variable whether a particular student pass (which will be denoted by 1) or fail (which will be denoted by 2) Continuous Random Variable b. Quiz score of a particular student Asking your classmates C. about their breakfast Making an order at a fast food restaurant Uploading a picture in a g. social media Buying pairs of shoes i. Writing a manuscript k. d. f. h. J. 1. 2. Identify if the following random variables are discrete or continuous. a. number of children in a family b. number of heads when you tossed a coin four times c. length of hair of selected female student d. size of a document file uploaded in an e-mail e. carat weight of a diamond jewelry f. number of students qualified for a city scholarship grant in a school district g. number of calories in a meal h. salary of a selected employee i. length of time spent by a high school student in social media j. number of times a fan watches a movie