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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(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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