1. Among a group of 100 individuals, 6 have a particular disease. Suppose four individuals are randomly selected (without replacement) from this group. Define X to be the number of the selected individuals who have the disease. How many distinct values of X are possible? Answer =2. Ten fair coins are tossed and the up faces are observed. Define X to be the number of tails observed. Find P(X = 2). Round your answer to the nearest hundredths. Answer =3. A pair of fair dice is tossed and the up face values are observed. Define X to be the number of die that have an up face value larger than 4. Find P(X = 2). Round your answer to the nearest hundredths. Answer =4. Suppose X is a discrete random variable with possible values: X = 0, 1, 2, or 3 Suppose P(X = 0) = 0.20, P(X = 1) = 0.20, P(X = 2) = 0.30, and P(X = 3) = 0.30. Find the mean of X. Do not round your answer. Answer =5. Suppose X is a discrete random variable with possible values: X = 0, 1, 2, or 3 Suppose P(X = 0) = 0.12, P(X = 1) = 0.24, P(X = 2) = 0.38, and P(X = 3) = 0.26. Find the variance of X. Round your answer to the nearest hundredths. Answer =6. Suppose X is a binomial random variable with 9 trials and success probability 0.40. Find P(X = 4). Round your answer to the nearest hundredths. Answer =7. Suppose X is a binomial random variable with 8 trials and success probability 0.30. Find P(X 2). Round your answer to the nearest hundredths. Answer =9. Suppose X is a binomial random variable with 7 trials and success probability 0.25. Find the mean of X. Answer =10. Suppose X is a binomial random variable with 10 trials and success probability 0.60 Find the variance of X. Answer =