III. Group Discussion 1. Toss five coins simultaneously and record the number of heads that will occur. a. Tabulate the probability distribution for the number of heads. b. Draw a histogram for the probability function. 2. Study the probability mass function below and find the following probabilities

III. Group Discussion Show your solution in answering the following problems involving mean and variance of discrete random variable. 1. From a box containing four white balls and two red balls, three balls are drawn in succession, each ball being replaced in the box before the next draw is being made. a. Find the probability distribution for the number of red balls. b. Find the mean and the variance of the number of red balls. 2. Suppose that the probabilities are 0.4, 0.3, 0.2, 0.1, respectively that 0, 1, 2, and 3 power failure will strike a certain subdivision in any given year. Find the mean and the variance of the random variable X, representing the number of power failures striking this subdivision.