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Unformatted text preview: Problems 3.2 and 3.7. Question 4: Problem 3.15a. After ﬁnishing 3.15a, ﬁnd the pdf f Y ( y ) of the random variable Y . Then complete 3.15b by using f Y ( y ). Question 5: (Very similar to Problem 3.16) Suppose the cdf F X ( x ) of a random variable X is as follows. F X ( x ) = if x <-π/ 2 c (1 + sin( x )) if-π/ 2 ≤ x < π/ 2 1 if π/ 2 ≤ x 1. Explain why c cannot be 1? 2. Explain why when c = 1 / 2, X is a continuous random variable. (Hint: you should check whether there is any jump or not.) 3. Let c = 1 / 4. Find the generalized pdf of X using the δ function. Question 6: Problem 3.20. Question 7: Problem 3.22....
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- Spring '08
- Probability distribution, Probability theory, probability density function, Cumulative distribution function, Continuous probability distribution