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*A random variable X has the following probability density function: | *A random variable X has the following probability density function: | ||
| − | <math>f_{X}(x)=Ce^{-\frac{1}{2}\frac{(x+3)^{2}}{9}}</math> | + | :<math>f_{X}(x)=Ce^{-\frac{1}{2}\frac{(x+3)^{2}}{9}}</math> |
:where C is a constant. What is the expected value of X. (Justify your answer mathematically.) | :where C is a constant. What is the expected value of X. (Justify your answer mathematically.) | ||
Revision as of 13:41, 25 April 2013
Quiz 7
ECE302: Probability
Spring 2013, Prof. Boutin
Topic: Expectation of continuous RV
Question
- A random variable X has the following probability density function:
- $ f_{X}(x)=Ce^{-\frac{1}{2}\frac{(x+3)^{2}}{9}} $
- where C is a constant. What is the expected value of X. (Justify your answer mathematically.)
Answers and discussion
- Official answer with grading key
- Write your comments/questions here.
- Write your comments/questions here.
