Determine which of the following can be probability distributions of a random variable `X :` `X :\ 0\ 1\ 2\ 3\ \ 4` `P(X):\ 0. 1\ \ 0. 5\ 0. 2\ \ -0. 1\ \ 0. 3`

Determine which of the following can be probability distributions of a random variable X -> X :\ 0\ 1\ 2 P(X):\ 0. 4\ \ 0. 4\ 0. 2

Determine which of the following can be probability distributions of a random variable X : X :\ 0\ 1\ 2 P(X):\ 0. 6\ \ 0. 1\ 0. 2

Determine which of the following can be probability distributions of a random variable X:X:012P(X):0.40.40.2

Determine which of the following can be probability distributions of a random variable X:X:012P(X):0.60.10.2

Determine which of the following can be probability distributions of a random variable X:X:01234P(X):0.10.50.2-0.10.3

Determine which of the following can be probability distributions of a random variable X: (i) X: 0 1 2 (ii) X: 0 1 2 P(X): 0.4 0.4 0.2 P(X): 0.6 0.1 0.2 (iii) X: 0 1 2 3 4 P(X): 0.1 0.5 0.2 -0.1 0.3

Prove that the following distributions of probability of random variable X are the probability distributions? X :\ 0\ \ 1\ 2\ 3\ \ 4 P(X): 0.1\ \ 0. 5\ \ 0. 2\ \ 0. 1\ \ 0. 1

Which of the following distributions of probability of random variable X are the probability distributions? X : 0 1 2 3 4 P(X): 0.1 0. 5 0. 2 0. 1 0. 1

Which of the following distributions of probability of random variable X are the probability distributions? X :\ \ 0\ 1\ \ 2\ 3 P(X): 0.3\ 0. 2\ 0. 4\ 0. 1

Find the mean and standard deviation of the following probability distribution: x_i :\ \ 1\ \ 2 \ \ 3\ \ 4 p_i :\ \ 0. 4\ \ 0. 3\ \ 0. 2\ \ 0. 1