When can a pdf and a cdf coincide?
Get into the exponential distribution through an exploration of its pdf.
What happens if this pdf is the arc of a circle?
Can the pdfs and cdfs of an exponential distribution intersect?
Given a probability density function find the mean, median and mode of the distribution.
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.
Can you work out the means of these distributions using numerical methods?
Explore the intersection possibilities for normal pdfs.