In a random sampling three items are selected from a lot. Each item is tested and classified as defective (D) or non-defective (N). Write the sample space of this experiment.

Suppose 3 bulbs are selected at random from a lot. Each bulb is tested and classified as defective (D) or non – defective (N). Write the sample space of this experiment.

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 bag contains one white and one red ball. A ball is drawn from the bag. If the ball drawn is white it is replaced in bag and again a ball is drawn. otherwise, a die is tossed. Write the sample space for this experiment.

There are 10 defective bulbs in a group of 100 bulbs. If a sample of 8 bulbs are selected at random then find the probability that: (i) in this sample 3 bulbs are defective and 5 are non-defective. (ii) in this sample at least one bulb is defective.

From a group of 2 boys and 3 girls, two children are selected. Find the sample space associated to this random experiment.

A box contains 1 red and 3 identical white balls. Two balls are drawn at random in succession without replacement. Write the sample space for this experiment.

A box contains 1 red and 3 black balls. Two balls are drawn at random in succession without replacement. Write the sample space for this experiment.

There are three coloured dice of red, white and black colour. These dice are placed in a bag. One die is drawn at random from the bag and rolled, its colour and the number on its uppermost face is noted describe the sample space for this experiment.

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 10 items containing 3 defectives, a sample of 4 items id drawn at random. Let the random variable X denote the number of defective items in the sample. If the sample is drawn randomly, find (i) the probability distribution of X (ii) P(Xlt=1) (iii) P(X<1) (iv) P(0