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