Home
Class 12
MATHS
From a lot of 10 items containing 3 defe...

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.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    MODERN PUBLICATION|Exercise EXERCISE 13 (a) (SATQ)|5 Videos

  • PROBABILITY

    MODERN PUBLICATION|Exercise EXERCISE 13 (a) (LATQ)|7 Videos

  • MATRICES

    MODERN PUBLICATION|Exercise CHAPTER TEST (3)|12 Videos

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise CHAPTER TEST (1)|12 Videos

Similar Questions

Explore conceptually related problems

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(X<=1) (iii) P(X<1) (iv) P(0

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

From a lot of 10 bulbs,which includes 3 defectives,a sample of 2 bulbs is drawn at random.Find the probability distribution of the number of defective bulbs.

From a lot f10 bulbs,which includes 3 detectives,a sample of 2 bulbs is drawn at random.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 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.

Consider the probability distribution of a random variable X Calculate (i) V( X/2) (ii) Variance of X.

From a lot of 15 bulbs which include 5 defectives,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.

A lot of 20 bulbs contains 4 defective ones. One bulb is drawn at random from the lot. What is the probability that this bulb is defective?