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0.25 0.25 incorrec At least one of the answers above is NOT correct (1 pt) Consi

ID: 3305066 • Letter: 0

Question

0.25 0.25 incorrec At least one of the answers above is NOT correct (1 pt) Consider the experiment where a pair of fair dice is thrown. Let X denote the random variable whose value is determined by taking the minimum of the spots showing on either of the two dice thrown. For example, if a 3 and a 5 were thrown, then X would take the value of minimum(3,5) 3. The range of values that X can assume are the positive integers (1,2,3,4,5,6) Please give the corresponding probabilities for the values of X given below. Pr(X 1) 11/36 Options s as: Pr(X 2) 9/36 Pr(X-3-17/36 Pr(X = 4-15/36 Pr(X -5) 3/36 thML answers? Pr(x 6)1/36 Further, find the probability that X is divisible by 2 Probability that X is divisible by 2 equals 0.25 Note: You can earn partial credit on this problem

Explanation / Answer

X is divisible by 2 means when we have X = 2, 4 or 6

there are total 9 + 5 + 1 = 15 events where X = 2, 4 or 6

Hence required probability = 15/36 = 0.4167