Question 1. Suppose you have an urn (a large vase for which you cannot see the contents) containing 4 red balls and 7 gr
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Question 1. Suppose you have an urn (a large vase for which you cannot see the contents) containing 4 red balls and 7 gr
Question 1. Suppose you have an urn (a large vase for which you cannot see the contents) containing 4 red balls and 7 green balls. 1. You pick a ball from the urn and observe its color, and return it to the urn (i.e sample with replacement). Then, you do this again. Consider the events A = {first ball is red}, B = {second ball is green}. (1) Are A and B independent events? Use the mathematical definition of independent events to justify your answer. 2. You pick a ball from the urn and observe its color, and you don't put the ball back (i.e. sample without replacement). Then, you do this again. In this new context, are A and B as defined in (1) independent events? Use the mathematical definition of independent events to justify your answer.