Please answer the required questions. Solution is a must. THANK YOU.

1. Suppose the numbers 1, 2, 3, and 6 are written on cards. Which are placed in a box. Two cards are picked from the box. Let X be the random variable that gives the products of the two numbers drawn. a. Construct the probability mass function of X b. Construct the histogram for the pmf c. What is P(X=6)? d. What is P(X s 10)? 2. Number cards, with numbers 1 to 10, are placed in a box, such that each number appears only once. Two cards are drawn at a random. Let X be the number of even numbers in the draw. Compute that probabilities of all possible outcomes. 3. The households of a local community were surveyed about the number of occupants who are working. It was found out that 25 households have one occupant working, 18 have two occupants working, 12 have three occupants working, and 5 have four occupants working. Let X be the number of occupants working from a randomly selected household. a. Create the probability distribution for the random variable X. b. Draw the probability histogram