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2. Consider a box of 30 candies (5 blue, 10 red and 15 green). A sample of 10 candies is randomly selected (without replacement) from the box. Let X be the number of blue candies in the sample. a. What is the probability distribution of X? To answer this question, simply state the name of the probability distribution and the values of any relevant parameter(s). b. Find the expected value and variance of X. C. Find the probabilities for all values of x with the drawn sample of 10 candies. Summarize these probabilities in a table and use them to show that it is a probability distribution. d. using only the values in the table created in (c) i. What is the mean and variance of X? ii. What is the probability that at least two blue candies are selected? iii . What is the probability that X is within one standard deviation of the mean