# Random Variables - Continuous ### Into the Exponential Distribution

##### Age 16 to 18Challenge Level

Get into the exponential distribution through an exploration of its pdf. ### PDF

##### Age 16 to 18Challenge Level

Given a probability density function find the mean, median and mode of the distribution. ##### Age 16 to 18Challenge Level

Can you work out the means of these distributions using numerical methods? ### pdf Stories

##### Age 16 to 18Challenge Level

Invent scenarios which would give rise to these probability density functions. ### Circle pdf

##### Age 16 to 18Challenge Level

What happens if this pdf is the arc of a circle? ### PCDF

##### Age 16 to 18Challenge Level

When can a pdf and a cdf coincide? ### Scale Invariance

##### Age 16 to 18Challenge Level

By exploring the concept of scale invariance, find the probability that a random piece of real data begins with a 1. ### Exponential Intersection

##### Age 16 to 18Challenge Level

Can the pdfs and cdfs of an exponential distribution intersect? ### Normal Intersection

##### Age 16 to 18Challenge Level

Explore the intersection possibilities for normal pdfs.