Problem 6) This problem has three independent parts a), b), and c) a) A manufacturing lot of 1000 articles have 100 defectives and remaining good ones. if a sample of 10 articles are randomly selected without replacement from the lot. what is the probability that the sample will contain no defectives? (6 points) (Round your answer to four decimal places) b} A pair of fair six-sided dice is rolled and a random variable X, the sum of points that turn up, is observed. Obtain the probability distribution of the random variable X. (6 points)