The Density Function for the Life of a Certain Type $p ( t ) = 0.2 e ^ { - 0.2 t } , t > 0$

question 172

Essay

The density function for the life of a certain type of battery is modeled by $p ( t ) = 0.2 e ^ { - 0.2 t } , t > 0$ and is measured in months.(a) Find the median life of the batteries.(b) Find the mean life of the batteries.(c) Sketch the graph of the density function showing the median and mean.

---

Definitions:

Fossil Record

The collection of fossils that has been discovered, providing evidence about the history of life on Earth.

Structural Protein

Proteins that play a role in building and maintaining the shape and structure of cells and tissues, such as collagen in connective tissues.

Extracellular Matrix

A complex network of proteins and carbohydrates outside cells, providing structural and biochemical support to surrounding cells.

Collagen

A primary structural protein found in skin and connective tissue, responsible for skin elasticity and strength.