Probability density functions

problem
Favourite

Into the Exponential Distribution

Age

16 to 18

Challenge level

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

PCDF

Age

16 to 18

Challenge level

When can a pdf and a cdf coincide?
problem
Favourite

Into the Normal Distribution

Age

16 to 18

Challenge level

Investigate the normal distribution
problem
Favourite

Scale Invariance

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.
problem

Exponential Intersection

Age

16 to 18

Challenge level

Can the pdfs and cdfs of an exponential distribution intersect?
problem

Distribution Differences

Age

14 to 16

Challenge level

How could you compare different situations where something random happens? What sort of things might be the same? What might be different?
$Circle \pdf$

problem

Circle PDF

Age

16 to 18

Challenge level

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

problem

PDF Stories

Age

16 to 18

Challenge level

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

PDF

Age

16 to 18

Challenge level

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