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

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

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

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

Can the pdfs and cdfs of an exponential distribution intersect?

Explore the intersection possibilities for normal pdfs.

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