Find the Median of the Random Variable X with the Probability

question 50

Short Answer

Find the median of the random variable x with the probability density function defined on the indicated interval I. The median of x is defined to be the number m such that . Observe that half of the x-values lie below m and the other half lie above m.
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Definitions:

Balanced Ecosystem

An ecological state where natural systems are in harmony, with stable populations and sustainable interactions among organisms and their environment.

Matter Cycle

The movement and exchange of organic and inorganic matter back into the production of living matter, involving processes like the carbon and nitrogen cycles.

Ecological Pyramid

A graphical representation that shows the biomass or bio productivity at each trophic level in a given ecosystem.

Producer Trophic Level

The first level in a food web, comprised of organisms that produce organic materials (usually through photosynthesis) from inorganic substances.