# Calculating probability, expectation and standard deviation

Consider a random variable with the following probability distribution:

P(X = 0) = 0.1,

P(X = 1) = 0.2,

P(X = 2) = 0.3,

P(X = 3) = 0.3, and

P(X = 4) = 0.1,

A) Find : P(X > 3 3|X > 2)

B) Find the expected value of X

C) Find the standard deviation of X

https://brainmass.com/statistics/probability/calculating-probability-expectation-standard-deviation-521595

#### Solution Preview

The detailed solution is provided for the problem.

Consider a random variable with the following probability distribution:

P(X = 0) = 0.1,

P(X = 1) = 0.2,

P(X = 2) = 0.3,

P(X = 3) = 0.3, and

P(X = 4) = 0.1,

A) Find : P(X > 3|X > 2) ...

#### Solution Summary

This solution is comprised of a detailed explanation for calculating the condition probability, expectation and standard deviation of a random variable. All formulas are provided and calculations are done in the solution.

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