2
Since X is a continuous random variable, probability of a point is zero and only intervals have non zero probabilities. Therefore
(1) since the support of X will be a subset of R.
(2)
. since probability of a point is zero for continuors random variable.
(3) It may be noted that set of all rational numbers is a countable set.
Therefore
(6)
Given
By definition the distribution function is given by
Since the deinsity function has |x| term we will calculate the distribution function for two ranges separately, that is wehn x<=0 and when x>0.
When x<=0, |x|= - x and
When x>0.
Therefore the distribution function is
2. Let X be a continuous random variable. Let R be the set of all real...
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