EXERCISE

Author:Tamil Nadu Board

Tamil Nadu Board Statistics Solutions for EXERCISE

Simple step-by-step solutions to EXERCISE questions of Random Variables and Mathematical Expectation from Statistics Standard 11. Also get 3D topic explainers, cheat sheets, and unlimited doubts solving on EMBIBE.

Questions from EXERCISE with Hints & Solutions

MEDIUM

11th Tamil Nadu Board

IMPORTANT

Statistics Standard 11>Chapter 9 - Random Variables and Mathematical Expectation>EXERCISE>Q 23

A random variable $X$ has $E (X) = \frac{1}{2}, E (X^{2}) = \frac{1}{2}$ , find its standard deviation.

MEDIUM

11th Tamil Nadu Board

IMPORTANT

Statistics Standard 11>Chapter 9 - Random Variables and Mathematical Expectation>EXERCISE>Q 28

A game is played with single pair die. A player wins Rs. $20$ if a $2$ turns up Rs. $40$ if a $4$ turns up. Loses Rs. $30$ if a $6$ turns up. While he neither win or loses if any other face turns up. Find his expectation of gain.

MEDIUM

11th Tamil Nadu Board

IMPORTANT

Statistics Standard 11>Chapter 9 - Random Variables and Mathematical Expectation>EXERCISE>Q 34

A discrete random variable has the following distribution function

$X$	$0$	$1$	$2$	$3$	$4$	$5$	$6$	$7$	$8$
$P (X)$	$a$	$3 a$	$5 a$	$7 a$	$9 a$	$11 a$	$13 a$	$15 a$	$17 a$

Find $a$ .

HARD

11th Tamil Nadu Board

IMPORTANT

Statistics Standard 11>Chapter 9 - Random Variables and Mathematical Expectation>EXERCISE>Q 34

A discrete random variable has the following distribution function

$X$	$0$	$1$	$2$	$3$	$4$	$5$	$6$	$7$	$8$
$P (X)$	$a$	$3 a$	$5 a$	$7 a$	$9 a$	$11 a$	$13 a$	$15 a$	$17 a$

Find $P (X < 3)$ .

HARD

11th Tamil Nadu Board

IMPORTANT

Statistics Standard 11>Chapter 9 - Random Variables and Mathematical Expectation>EXERCISE>Q 34

A discrete random variable has the following distribution function

$X$	$0$	$1$	$2$	$3$	$4$	$5$	$6$	$7$	$8$
$P (X)$	$a$	$3 a$	$5 a$	$7 a$	$9 a$	$11 a$	$13 a$	$15 a$	$17 a$

Find $P (X \geq 5)$ .

HARD

11th Tamil Nadu Board

IMPORTANT

Statistics Standard 11>Chapter 9 - Random Variables and Mathematical Expectation>EXERCISE>Q 34

A discrete random variable has the following distribution function

$X$	$0$	$1$	$2$	$3$	$4$	$5$	$6$	$7$	$8$
$P (X)$	$a$	$3 a$	$5 a$	$7 a$	$9 a$	$11 a$	$13 a$	$15 a$	$17 a$

Find $P (3 < X < 7)$ .

MEDIUM

11th Tamil Nadu Board

IMPORTANT

Statistics Standard 11>Chapter 9 - Random Variables and Mathematical Expectation>EXERCISE>Q 39

The joint probability function of $X$ and $Y$ is given below:

$Y \to$	$1$	$3$	$9$
$\underset{↓}{X}$	$1$	$3$	$9$
$2$	$0.1$	$0.1$	$0.05$
$4$	$0.2$	$0$	$0.1$
$6$	$0.1$	$0.15$	$K$

Find $K$ .

HARD

11th Tamil Nadu Board

IMPORTANT

Statistics Standard 11>Chapter 9 - Random Variables and Mathematical Expectation>EXERCISE>Q 39

The joint probability function of $X$ and $Y$ is given below:

$Y \to$	$1$	$3$	$9$
$\underset{↓}{X}$	$1$	$3$	$9$
$2$	$0.1$	$0.1$	$0.05$
$4$	$0.2$	$0$	$0.1$
$6$	$0.1$	$0.15$	$K$

Find $E (X + Y)$ .

EXERCISE

Tamil Nadu Board Statistics Solutions for EXERCISE

Questions from EXERCISE with Hints & Solutions

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