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home / study / math / statistics and probability / statistics and probability questions and answers / there are 6 numbered balls in a bag. each ball has a distinct number and the numbers are in ... Your question has been answered Let us know if you got a helpful answer. Rate this answer Question: There are 6 numbered balls in a bag. Each ball has a distinct number and the numbers are in {1, 2... There are 6 numbered balls in a bag. Each ball has a distinct number and the numbers are in {1, 2, 3, 4, 5, 6}. Take 3 balls from the bag (without replacement) randomly and read the number on each ball. Let X1 be the maximum number and X2 be the minimum number among the three observed numbers. (a) Find the marginal p.m.f. of X1. (b) Find the marginal p.m.f. of X2. (c) Find the joint p.d.f. of X1 and X2. (d) Are X1 and X2 independent? Why? (e) Find the correlation coefficient between X1 and X2.

Answer 1