Describe the distribution `B(4,1/3)`. Also find the mean and variance.

A die is tossed once. Let a random variable X be defined as X={(0,if the dice shows an odd number),(1, if the dice shows an even number):} Find the probability distribution of X. Also find the mean and variance.

Three numbers are selected at random (without replacement) from first 6 positive integers. Let X denote the largest of the three numbers obtained. Find the probability distribution of X. Also, find the mean and variance of the distribution.

On one of 8 identical slips of paper, it is written 0, on the other it is written 3, on three of them it is written 1 on the top of the remaining three it is written 2. slips are folded and mixed throughly. One slip is drawn at random. If X is the number on the slip, find the probability distributoin of X. also find the mean and variance.

The screws produced by a certain machine were checked by examining samples of 7. The following table shows the distribution of 128 samples according to the number of defective items they contained. Fit a binomial distribution and find the expected frequencies if the chance of screw being defective is 1/2 . Also find the mean and variance of the fitted distribution.

A random variable has the following probability distribution : If yes, find its mean and variance.

Two numbers are selected at random from first six positive integers. Let X denote the larger of the two numbers obtained. Find the probability distribution of X. find the mean and variance of this distribution.

A coin is tossed 4 times. Let X denote the number of heads. Find the probability distribution of X, its mean and variance.

Find the binomial distribution whose: mean is 4 and variance is 3.

Two dice are thrown simultaneously. If X denotes the numbers of sixes obtained, find probability distribution of X and also is mean and variance.