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.

Text Solution

AI Generated Solution

Topper's Solved these Questions

MAXIMA AND MINIMA
RD SHARMA ENGLISH|Exercise All Questions|309 Videos
MEAN VALUE THEOREMS
RD SHARMA ENGLISH|Exercise All Questions|134 Videos

Similar Questions

Explore conceptually related problems

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

There are 4 cards numbered 1,3,5 and 7, one number on one card. Two cards are drawn at random without replacement. Let X denote the sum of the numbers on the two drawn cards. Find the mean and variance of X.

There are 10 cards numbered 1 to 10 in a bag. Two cards are drawn one after other without replacement. The probability that their sum is odd, is

Two cards are drawn from 52 playing cards without replacement. The variance of the number of ace is

Two cards are drawn successively with replacement . The mean of number of Aces is

Two cards are drawn simultaneously (without replacement) from a well-shuffled pack of 52 cards. Find the mean and variance of the number of red cards.

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.

Two cards are drawn one by one without replacement. Find the probability that both are hearts.

Two cards are drawn simultaneously (or successively without replacement) from a well shuffled pack of 52 cards. Find the mean and variance of the number of red cards.

RD SHARMA ENGLISH-MEAN AND VARIANCE OF A RANDOM VARIABLE -All Questions

In a game 3 coins are tossed. A person is paid Rs. 5, if he gets all h...
Text Solution
|
A discrete random variable X has the probability distribution given be...
Text Solution
|
There are 5 cards numbered 1 to 5, one number on one card. Two cards ...
Text Solution
|
A box contains 13 bulbs out of which 5 are defective. 3 bulbs are r...
Text Solution
|
Two cards are drawn without replacement from a well-shuffled deck of 5...
Text Solution
|
Find the probability distribution of the number of green balls drawn ...
Text Solution
|
Find dy/dx if x^2=tany
Text Solution
|
We take 8 identical slips of paper, write the number 0 on one of them,...
Text Solution
|
A die is loaded in such a way that an even number is twice likely to ...
Text Solution
|
Two baised dice are thrown together. For the first die P(6)=1/2 , othe...
Text Solution
|
The probability distribution function of a random variable X is given ...
Text Solution
|
Two cards are drawn successively without replacement from a well sh...
Text Solution
|
Three cards are drawn successively with replacement from a well-shu...
Text Solution
|
A fair die is tossed twice. If the number appearing on the top is less...
Text Solution
|
A baised die is such that P(4)=1/(10) and other scores being equally l...
Text Solution
|
Find the probability distribution of the maximum of two scores obtaine...
Text Solution
|
Find the mean and variance of the number of heads in the two tosses of...
Text Solution
|
A random variable X as the following probability distribution: xi :-2-...
Text Solution
|
Find the mean number of heads in three tosses of a fair coin.
Text Solution
|
A coin weighted so that P(H)=3/4a n dP(T)=1/4 is tossed three times. L...
Text Solution
|