There are 5 cards numbered 1 to 5, one n...

There are 5 cards numbered 1 to 5, one number on one card. Two cards are drawn at random without replacement. Let X denote the sum of the numbers on two cards drawn. Find the mean and variance of X.

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

PROBABILITY
KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Objective type Questions) |38 Videos
PROBABILITY
KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (True/False) |10 Videos
PROBABILITY
KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Short Answer Type Questions) |40 Videos
MATRICES
KUMAR PRAKASHAN|Exercise Practice Paper - 3 (Section - D)|1 Videos
RELATIONS AND FUNCTIONS
KUMAR PRAKASHAN|Exercise Practice Paper - 1 (Section - D)|2 Videos

Similar Questions

Explore conceptually related problems

There are 5 cards numbered 1 to 5 on it. Two cards are drawn at random without replacement. Let X denotes the sum of the numbers on two cards drawn. Find mean and variance.

Let X denote the sum of the numbers obtained when two fair dice are rolled. Find the variance and standard deviation of X.

Two cards are drawn at random and without replacement from a pack of 52 playing cards. Find the probability that both the cards are black.

Let a pair of dice be thrown and the random variable X be the sum of the numbers that appear on the two dice. Find the mean or expectation of X.

A dice is thrown three times. Let X be 'the number of two seen'. Find the expectation of X.

Two cards are drawn at random from a pack of 52 cards. The probability that both the cards are kings is ........

A pack contains n cards numbered from 1 to n. Two consecutive numbered cards are removed from the pack and the sum of the numbers on the remaining cards is 1224. If the smaller of the numbers on the removed cards is k, then k-20 is equal to

Two numbers are selected at random (without replacement) from the first six positive integers. Let X denote the larger of the two numbers obtained. Find E(X).

A bag contains 5 red and 3 blue balls. If 3 balls are drawn at random without replacement the probability of getting exactly one red ball is ……..

Choose the correct answer Suppose that two cards are drawn at random from a deck of cards. Let X be the number of aces obtained. Then the value of E(X) is

KUMAR PRAKASHAN-PROBABILITY-Solutions of NCERT Exemplar Problems (Long Answer Type Questions)

An urn contains m white and n black balls. A ball is drawn at random a...
Text Solution
|
Three bags contain a number of red and white balls as follows: Th...
Text Solution
|
Three bags contain a number of red and white balls as follows: If...
Text Solution
|
A shopkeeper sells three types of flower seeds A(1), A(2), and A(3). T...
Text Solution
|
A letter is known to have come either from word TATA NAGAR or from CAL...
Text Solution
|
There are two bags, one of which contains 3 black and 4 white balls wh...
Text Solution
|
The three urns having the numbers of white and black balls are given b...
Text Solution
|
By examining the chest X-ray probability that T.B. is detected when pe...
Text Solution
|
An item is manufactured by three machines A, B and C. Out of the total...
Text Solution
|
Let X be a discrete random variable whose probability distribution is ...
Text Solution
|
The probability distribution of a discrete random variable X is given ...
Text Solution
|
The probability distribution of a random variable X is given as under ...
Text Solution
|
A bag contains (2n + 1) coins. It is known that n of these coins have ...
Text Solution
|
Two cards are drawn successively without replacement from a well shuff...
Text Solution
|
A dice is tossed twice. A 'success' is getting an even number on a tos...
Text Solution
|
There are 5 cards numbered 1 to 5, one number on one card. Two cards a...
Text Solution
|