QUESTION 16 Random variable probability distribution The random variable X takes on values of X= 0, 2, 3, 4, or 5. The following probabilities are given: p(0) = 0.2 p(2) = 0.2 For the others, p(5) is...

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Extracted text: QUESTION 16 Random variable probability distribution The random variable X takes on values of X= 0, 2, 3, 4, or 5. The following probabilities are given: p(0) = 0.2 p(2) = 0.2 For the others, p(5) is the least likely, and there are the following relations. 4 is twice as likely as 5; p(4) = 2p(5) 3 is three times as likely as 5; p(3) = 3p(5) Complete the probability table for X, and sketch a histogram for its distribution.