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.

We take 8 identical slpis of paper, write the number 0 on one of them, number 1 on three of the slips, the number 2 on three of the slips and number 3 on one of the slpis. These slips are folded, put in a box and thoroughly mixed. One slip is then drawn at random from the box. If Z is the random variable denoting the number written on the drawn slip, find the probability distribution of Z.

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.

An urn contains 4 white and 3 red balls. Let 'X' be the number of red balls in a random draw of three balls. Find the mean and variance of X.

Four defective oranges are accidently mixed with 16 good ones and by looking at them it is not possible to differentiate between them. Three oranges are drawn at random from the lot. Find the probability distribution of X, the number of defective oranges.

An urn contains 3 white and 6 red balls. 4 balls are drawn one by one with replacement from the urn.Find the probability distribution of the number of red balls drawn. Also find mean and variance of the distribution.

Numbers 1 to 10 are written on ten separate slips (one number on one slip), kept in a box and mixed well. One slip is chosen from the box without looking into it. What is the probability of : getting a number 6?