Random Variables - Continuous

Into the Exponential Distribution

Age 16 to 18 Challenge Level:

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

PDF

Age 16 to 18 Challenge Level:

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

What's Your Mean?

Age 16 to 18 Challenge Level:

Can you work out the means of these distributions using numerical methods?

pdf Stories

Age 16 to 18 Challenge Level:

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

Circle pdf

Age 16 to 18 Challenge Level:

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

PCDF

Age 16 to 18 Challenge Level:

When can a pdf and a cdf coincide?

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.

Exponential Intersection

Age 16 to 18 Challenge Level:

Can the pdfs and cdfs of an exponential distribution intersect?

Normal Intersection

Age 16 to 18 Challenge Level:

Explore the intersection possibilities for normal pdfs.