Explore the intersection possibilities for normal pdfs.
Can you work out the means of these distributions using numerical methods?
When can a pdf and a cdf coincide?
Get into the exponential distribution through an exploration of its pdf.
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.
Can the pdfs and cdfs of an exponential distribution intersect?
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.