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Examine proper probability density function.

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1.Consider the following discrete probability distribution function for the variable X:

X | 2 3 4 5 6
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F(x) | .05 .4 .2 .05 .3

a. Is this a proper probability density function? How do you know? (3 pts)
b. Find the mean, variance, and standard deviation of x, showing your work.(6 pts)
c. What is the probability that any draw from this distribution, say X, is less than 4? (3 pts) [i.e., find Pr(X< 4)=?]

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Solution Summary

The expert examines proper probability density function. The probability that any draw from the distribution were determined.

Solution Preview

To see if it is a proper probability density function, we must check if the probabilities of all outcomes add up ...

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