Question

Let Y be the random variable that indicates the number of people standing in a line. We have the following information: At any point in time there are at most 4 people standing in the line The probability of having 2 people standing in the line is equal to the probability of having 0 people standing in the line . The probability of having 3 people standing in the line is equal to the probability of having 1 person standing in the line. The probability of having 3 people standing in the line is twice the probability of having 2 people standing in the line. . The probability of having 4 people standing in the line is 3/2 times the probability of having 3 people standing in the line (a) Find Py() namely the probability mass function (PMF of Y for all values of y. (b) Represent Py () both as a bar plot and as a table.

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巡: Senn P(3-2 P) P(y): (3)

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