From a lot containing 25 items, 5 of which are defective, 4 are, chosen at
random. Let `X` be the number of defectives found. Obtain the probability
distribution of `X` if the items are chosen without replacement.

From a log of 6 items containing 2 defective items, a sample of 4 items are drawn at random. Let the random variable X denote the number of defective items in the sample. If the sample is drawn without replacement, find : (a) The probability distribution of X. (b) Mean of X. (c ) Variance of X.

From a lot of 15 bulbs which include 5 defectives, a sample of 2 bulbs is drawn at random (without replacement). Find the probability distribution of the number of defective bulbs.

From a lot of 30 bulbs which include 6 defectives, a sample of 4 bulbs is drawn at random with replacement. Find the probability distribution of the number of defective bulbs.

A sample of 2 itmes is selected at random from a bag containing 5 items of which 2 are defective. Then mean of number of defective items is

A box contains 13 bulbs out of which 5 are defective. 3 bulbs are randomly drawn, one by one without replacement, from the box. Find the probability distribution of the number of defective bulbs.

Three electric bulbs are chosen at random from 15 bulbs of which 5 are defective. The probability that atleast one is defective is

3 bulbs are chosen at random from 20 bulbs , out of which 4 are defective . The probability that the room is illuminated will be

If a number x is chosen at random from the number -2, -1, 0, 1, 2. What is the probability that x^(2)lt2 ?

An urn contains 4 white and 3 red balls. Three balls are drawn at random from the urn with replacement. Find the probability distribution of the number of red balls.

From a lot of 30 bulbs, which include 6 defectives, a sample of 4 bulbs is drawn at random with replacement. Find the probability distribution of the number of defective bulbs. Also find the mean and variance of the distribution.