MEDIUM
12th CBSE
IMPORTANT
Earn 100

Find the mean and standard deviation of each of the following probability distribution :

xi 0 1 2 3 4 5
pi 16 518 29 16 19 118

Important Questions on Mean and Variance of a Random Variable

MEDIUM
12th CBSE
IMPORTANT

A discrete random variable X has the probability distribution given below:

X: 0.5 1 1.5 2
P(X): k k2 2k2 k

Find the value of k.

MEDIUM
12th CBSE
IMPORTANT

A discrete random variable X has the probability distribution given below:

X: 0.5 1 1.5 2
P(X): k k2 2k2 k

Determine the mean of the distribution when k=13.

HARD
12th CBSE
IMPORTANT

Find the mean variance and standard deviation of the following probability distribution

xi a b
pi p q

where p+q=1 .

HARD
12th CBSE
IMPORTANT
Find the mean and variance of the number of tails in three tosses of a coin.
MEDIUM
12th CBSE
IMPORTANT
Two cards are drawn simultaneously from a pack of 52 cards. Compute the mean and standard deviation of the number of kings.
MEDIUM
12th CBSE
IMPORTANT
Find the mean, variance and standard deviation of the number of tails in three tosses of a coin.
MEDIUM
12th CBSE
IMPORTANT
Two bad eggs are accidently mixed up with ten good ones. Three eggs are drawn at random with replacement from this lot. Compute the mean for the number of bad eggs drawn.
MEDIUM
12th CBSE
IMPORTANT
A pair of fair dice is thrown. Let X be the random variable which denotes the minimum of the two numbers which appear. Find the probability distribution, mean and variance of X.