Probability density functions

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

When can a pdf and a cdf coincide?

Investigate the normal distribution

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

How could you compare different situations where something random happens? What sort of things might be the same? What might be different?

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

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

Can the pdfs and cdfs of an exponential distribution intersect?

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