![The Pareto distribution has cdf f(x) = 1 (/(x+))^. Suppose that a random variable X has a
distribution which is a two-point mixture of two Pareto distributions, one with = 2, = 50, and p
= 0.8, and the other with = 4, = 1250, and p = 0.2. Calculate the expected value of X.
Hint:
expected value of mixed distributions is pE[Y]+(1-p)E[Z]
integrate both distributions from 0 to inf to find their expected values
then plugin with given p values](https://image.slidesharecdn.com/theparetodistributionhascdffx1x-230329050102-a32f2352/85/The-Pareto-distribution-has-cdf-f-x-1-x-Suppose-that-a-ra-pdf-1-320.jpg)
Empfohlen
Empfohlen
Weitere ähnliche Inhalte
Mehr von alankareyecare
Mehr von alankareyecare (20)
Kürzlich hochgeladen
Kürzlich hochgeladen (20)
The Pareto distribution has cdf f(x) = 1 ((x+))^. Suppose that a ra.pdf
- 1. The Pareto distribution has cdf f(x) = 1 (/(x+))^. Suppose that a random variable X has a distribution which is a two-point mixture of two Pareto distributions, one with = 2, = 50, and p = 0.8, and the other with = 4, = 1250, and p = 0.2. Calculate the expected value of X. Hint: expected value of mixed distributions is pE[Y]+(1-p)E[Z] integrate both distributions from 0 to inf to find their expected values then plugin with given p values