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The random variable X has a probability distribution P(X) of the following form, where k is some number:

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The random variable X has a probability distribution P(X) of the following form, where k is some number: P(X)={ k,ifx=0 2k,ifx=1 3k,ifx=2 0,otherwise (a) Determine the value of k (b) Find P (X < 2), P (X ≤ 2), P (X ≥ 2) Select the correct answer from above options

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(a) In P.d. ΣXP(X)= 1

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