Is this a proper probability density function? how do you, Ask an Expert

Statistics

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

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

a. Is this a proper probability density function? How do you know?

b. Find the mean, variance, and standard deviation of x, showing your work.

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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Category:- Statistics and Probability
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