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

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

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

Given a probability density function find the mean, median and mode of the distribution.

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

Explore the intersection possibilities for normal pdfs.

Can the pdfs and cdfs of an exponential distribution intersect?