Given a probability density function find the mean, median and mode of the distribution.
What happens if this pdf is the arc of a circle?
Get into the exponential distribution through an exploration of its pdf.
Can the pdfs and cdfs of an exponential distribution intersect?
When can a pdf and a cdf coincide?
Invent scenarios which would give rise to these probability density functions.
Can you work out the means of these distributions using numerical methods?
By exploring the concept of scale invariance, find the probability that a random piece of real data begins with a 1.
Explore the intersection possibilities for normal pdfs.