Find the probability distribution of a random variable (X) which takes the values 0,…

MATHEMATICS · Subjective · AP · AP Statistics · Probability Random Variables Distributions · Probability Random Variables Distributions

Problem

Find the probability distribution of a random variable (X) which takes the values 0, 1 and 2 such that

P(X = x) = k(3x + 1),

where (k) is a constant. Also find the mean of the distribution.