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.

A box contains 16 bulbs, out of which 4 bulbs are defective. Three bulbs are drawn at random from the box. Let X be the number of defective bulbs drawn. Find the mean and variance of X.

From a lot of 10 items containing 3 defective items a sample of 4 items is 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 : (i) The Probability Distribution of X (ii) Mean of X (iii) Variance of X.

From a lot of 10 items containing 3 defectives, a sample of 4 items is drawn at random without replacement. The expected number of defective items is

There is a box containing 30 bulbs of which 5 are defective.If two bulbs are chosen at random from the box in succession without replacing the first,what is the probability that both the bulbs chosen are defective?

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.

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.

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.

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

Three items from a lot of 10 items are defective. if two items are selected randomly one by one without replacing then the probability that both are defective items.

From a lot o f15bulbs which include 5 defective,a sample of 4 bulbs is drawn one by one with replacement.Find the probability distribution of number of defective bulbs. Hence,find the mean of the distribution.