If the probability mass function of a discrete random variable X is given below: I p(z) 3 -3 15 2 -2 15 3 -1 15 0 1 15 3 1 15 2 2 15 3 15 Then the variance of X is given by
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Step 1: The variance of a discrete random variable X is given by: $$Var(X) = E(X^2) - [E(X)]^2$$ Show more…
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3) Consider discrete random variable X with probability mass function given in the Table below x 0 1 2 3 4 p(x) 0.15 0.25 0.35 0.15 0.1 a) [3] Plot the cdf of X b) [3] Calculate Var(X) c) [2] Find the probability distribution of the random variable Y = |X - 2|
Adi S.
Consider a discrete random variable X with probability mass function given in the Table below. x 0 1 2 3 4 p(x) 0.15 0.25 0.35 0.15 0.1 a) [3] Plot the cdf of X b) [3] Calculate Var(X) c) [2] Find the probability distribution of the random variable Y = |X - 2|
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The probability mass function (pmf) of a discrete random variable X is given in the table below. (a) Verify this probability mass function is valid. (b) Find μ_X, the mean of X. (c) Find σ_X^2, the variance of X. (d) Find the cumulative distribution function of X. (e) Define a new random variable Y = 3X - 1. Find the variance of Y.
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