Question

The expected value of a random variable is
a)mean value over an infinite no of observation of the variable
b)Large value that will ever occur
c)Most common value over an infinite no of observations of the variables
d)value that has highest probability of occurring

Answer 1

Answer:

it has average value

Step-by-step explanation:

The expected value can be thought of as the “average” value attained by the random variable; in fact, the expected value of a random variable is also called its mean, in which case we use the notation µX.

Answer 2

Concept:

Average is the sum of all entities divided by the total no. of entities.

Given:

a)mean value over an infinite no of observation of the variable

b)Large value that will ever occur

c)Most common value over an infinite no of observations of the variables

d)value that has highest probability of occurring

Find:

The expected value of a random variable is

Solution:

Mean value over an infinite no. of observation of a random variable can be the expected value of a random variable.

Large value can be a range of the variable but can never be the expected value.So option b is wrong.

Most occurring value can aslo be correct but won't be so precise as average value. so. option c is partially correct.

Highest probability is calculated using average. So this is alos partially correct.

Hence the answer is a)

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