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1. Identify which of the following are discrete random variables. Explain each answer. a) the number of job applications received each week by a restaurant bj the time it takes a student to complete math homework c) the number of defective parts in a sample taken from a factory d) the life span of a light bulb observed during a quality-control test the total amount of money earned at a movie theater during a day 2. Create a probability distribution for all sums of the two eight-sided dice 3. Which of the following are valid probability distribution? Explain the answer. X P(X) X P X X PIX 0 0.5 0.5 0.2 0.3 1 0.25 0.2 0.3 1 D.25 2 0.25 0.3 0.25 2 0.25 3 0.2 4. An experiment is conducted in which two coin are tossed and the number of heads is recorded. a) Explain why the number of heads is a discrete random variable. bj Create a probability distribution table for the number of heads. c) Compute the expected number of heads per trial