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?
Can the pdfs and cdfs of an exponential distribution intersect?
When can a pdf and a cdf coincide?
Investigate the normal distribution
Get into the exponential distribution through an exploration of its
How could you compare different situation where something random
happens ? What sort of things might be the same ? What might be
Invent scenarios which would give rise to these probability density functions.
When five dice are rolled together which do you expect to see more
often, no sixes or all sixes ?
By exploring the concept of scale invariance, find the probability
that a random piece of real data begins with a 1.