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Probability Distribution of Random Variables of X

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The probability distribution for the random variable x is as follows

x is 20 25 30 35
f(x) is .20 .15 .25 .40

a. Is this probability distribution valid? Explain.
b. What is the probability that x=30?
c. What is the probability that x is less than or equal to 25?
d. What is the probability that x is greater than 30?

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Solution Summary

This solution discusses aspects of a probability distribution.

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Hello and thank you for posting your question to Brainmass.

(a)
Yes.

The sum of all probabilities must be equal 1, since x must attain one of the values.

think of a simpler system - a fair coin.
x can be H or T.
Each event has probability of 1/2 (50% the coin shows head, 50% the coin shows tail).
Since the coin must show either H ...

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