Question

Please help! I will give brainliest!Let X be uniform over (0, 1). Find E[X|X < 1 ].

Answer 1

Using the uniform distribution, it is found that E[X|X < 1 ] = 0.5.

What is the uniform probability distribution?

It is a distribution with two bounds, a and b, in which each outcome is equally as likely.

The expected value is given by:

$E(X) = \frac{a + b}{2}$

In this problem:

• The distribution is uniform over the interval (0, 1) hence $a = 0,b = 1$.

• We want the expected value considering X is less than 1, hence the value of bound b is still 1.

Then:

$E(X|X < 1) = \frac{0 + 1}{2} = 0.5$

You can learn more about the uniform distribution at brainly.com/question/13889040