2- For the following probability distribution- X -4 -3 -2 -1 0 2- EX is equal to 1 - 7 P x 0-1 0-2 0-3 0-2 0-2 A- 0B- -1C- -2D- -1-8

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Standard XII

Mathematics

Simple and Compound Event

2* For the fo...

Question

For the following probability distribution: $\begin{matrix} X & - 4 & - 3 & - 2 & - 1 & 0 P (x) & 0.1 & 0.2 & 0.3 & 0.2 & 0.2 \end{matrix}$ E(X) is equal to

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Solution

The correct option is D
-1.8

E(x) = -1.8

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Similar questions

Q. Mark the correct alternative in the following question:

For the following probability distribution:

X:	−4	−3	−2	−1	0
P(X):	0.1	0.2	0.3	0.2	0.2

The value of E(X) is

(a) 0 (b) −1 (c) −2 (d) −1.8

State which of the following are not the probability distributions of a random variable. Give reasons for your answer.

(i)

X	0	1	2
P (X)	0.4	0.4	0.2

(ii)

X	0	1	2	3	4
P (X)	0.1	0.5	0.2	− 0.1	0.3

(iii)

Y	−1	0	1
P (Y)	0.6	0.1	0.2

(iv)

Z	3	2	1	0	−1
P (Z)	0.3	0.2	0.4	0.1	0.05

Which of the following can not be valid assignment of probabilities for outcomes of sample space S =

Assignment	ω₁	ω₂	ω₃	ω₄	ω₅	ω₆	ω₇
(a)	0.1	0.01	0.05	0.03	0.01	0.2	0.6
(b)
(c)	0.1	0.2	0.3	0.4	0.5	0.6	0.7
(d)	–0.1	0.2	0.3	0.4	–0.2	0.1	0.3
(e)

State whether the given table is not the probability distributions of a random variable. Give reasons for your answer.
$\begin{matrix} X & 0 & 1 & 2 P (X) & 0.4 & 0.4 & 0.2 \end{matrix}$

$\begin{matrix} x & 0 & 1 & 2 & 3 & 4 P (X) & 0.1 & 0.5 & 0.2 & - 0.1 & 0.3 \end{matrix}$

$\begin{matrix} Y & - 1 & 0 & 1 P (Y) & 0.6 & 0.1 & 0.2 \end{matrix}$

$\begin{matrix} Z & 3 & 2 & 1 & 0 & - 1 P (Z) & 0.3 & 0.2 & 0.4 & 0.1 & 0.05 \end{matrix}$

A random variable X has the following probability distribution.

X	0	1	2	3	4	5	6	7
P (X)	0	k	2k	2k	3k	k²	2k²	7k² + k

Determine

(i) k

(ii) P (X < 3)

(iii) P (X > 6)

(iv) P (0 < X < 3)

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For the following probability distribution: X−4−3−2−10P(x)0.10.20.30.20.2 E(X) is equal to

The correct option is D -1.8 E(x) = -1.8

For the following probability distribution: $\begin{matrix} X & - 4 & - 3 & - 2 & - 1 & 0 P (x) & 0.1 & 0.2 & 0.3 & 0.2 & 0.2 \end{matrix}$ E(X) is equal to

The correct option is D
-1.8

E(x) = -1.8