Answer :

The key point to solve the problem:


If a probability distribution is given then as per its definition, Sum of probabilities associated with each value of a random variable of given distribution is equal to 1


i.e. ∑(pi) = 1


P(X = -2) + P(X = -1) + P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 1


0.1 + k + 0.2 + 2k + 0.3 + k = 1


0.6 + 4k = 1


4k = 0.4


K = 0.1


Value of k = 0.1


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