Question

If a random variable X assumes values -1,
0,1 with probabilities 1/3, 1/6, 1/2 then the
probabilities of Y = 3X - 1 are
​

Answer 1

Answer:

ANS:- 1/3, 1/6, 1/2 is correct answers

Answer 2

Concept:

A probability distribution is a mathematical function that assesses the likelihood of a wide range of possible outcomes for an experiment. In terms of sample space and event probability, it's a mathematical depiction of a random phenomenon.

Given:

A random variable X with values $-1, 0$ and $1$ has probabilities $\frac{1}{3}, \frac{1}{6}, \frac{1}{2}$.

Find:

The probabilities of Y = 3X-1.

Solution:

The probabilities of Y remain the same as of probabilities of X.

Hence, the probabilities of Y are $\frac{1}{3}, \frac{1}{6}, \frac{1}{2}$.