In March 1995 the Space Shuttle Carried an Experiment Designed $p(x)=x e^{-x}$

question 59

Essay

In March 1995 the space shuttle carried an experiment designed by a Harvard student who studies the growth of crystals.Suppose the probability density function of the length, x cm, of a crystal grown in space is modeled by $p(x)=x e^{-x}$ for $x \geq 0$ .The cumulative distribution function giving the probability that a crystal has length $\le$ t cm is represented by P(t).Which of the quantities (i)- (x)below best approximates the probability that a crystal has length between 4 cm and 4.01 cm?

---

Definitions:

Time-Pressed Readers

Individuals who face time constraints, causing them to scan or skim through written material quickly to extract necessary information.

Digitally Distributing

The process of delivering content or products over the internet directly to consumers or users.

Word File

A digital document created or saved in a word processing software, such as Microsoft Word.

Tight

Often refers to content that is well-organized and free from extraneous elements, making it concise and to the point.