Suppose Z is a discrete random variable with the following probability distribution: P(Z = 0) = 0.1 P(Z = 1) = 0.3 P(Z = 2) = 0.4 P(Z = 3) = 0.2 What is the mode of Z?

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A: We have to define the indicator variable IA of a random event A, and also to show that EIA=PA.

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Q: e. Find the variance and standard deviation of the probability distribution of the random variable X…

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Q: If the random variable ?takes the values 1, 2, 3, 4 such that 3P(X=1)= 4P(X=2 )= P(X=3) = 5P(X=4).…

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A: Answer is  (b) 1154

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Q: Find the variance and standard deviation of the probability distribution of a random variable X…

A: Variance=EX2-E2(X)=32730+5213+721330-3730+513+713302=31.6666666667-5.42=2.5066666667

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