Question

1. A random sample with replacement of size 2 is taken from S=
{1,2,3). Let the random variable X denote the sum of the two
numbers taken. (i) write the probability distribution of x.(ii)find
mean and variance.
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Answer 1

Answer:

The probability distribution for a random variable describes how the probabilities are distributed over the values of the random variable. For a discrete random variable, x, the probability distribution is defined by a probability mass function, denoted by f(x).