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Broad Topics >

Advanced Probability and Statistics > Probability density functions

##### Age 16 to 18 Challenge Level:

Given a probability density function find the mean, median and mode
of the distribution.

##### Age 16 to 18 Challenge Level:

Get into the exponential distribution through an exploration of its
pdf.

##### Age 16 to 18 Challenge Level:

Investigate the normal distribution

##### Age 16 to 18 Challenge Level:

What happens if this pdf is the arc of a circle?

##### Age 16 to 18 Challenge Level:

By exploring the concept of scale invariance, find the probability
that a random piece of real data begins with a 1.

##### Age 16 to 18 Challenge Level:

Can the pdfs and cdfs of an exponential distribution intersect?

##### Age 16 to 18 Challenge Level:

When can a pdf and a cdf coincide?

##### Age 16 to 18 Challenge Level:

Invent scenarios which would give rise to these probability density functions.

##### Age 14 to 16 Challenge Level:

How could you compare different situation where something random
happens ? What sort of things might be the same ? What might be
different ?