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.