List

Random Variables - Continuous

Into the exponential distribution
problem
Favourite

Into the Exponential Distribution

Age
16 to 18
Challenge level
1 out of 3
Get into the exponential distribution through an exploration of its pdf.
PDF
problem

PDF

Age
16 to 18
Challenge level
3 out of 3

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

What's your mean?
problem
Favourite

What's Your Mean?

Age
16 to 18
Challenge level
1 out of 3
Can you work out the means of these distributions using numerical methods?
\pdf stories
problem

PDF Stories

Age
16 to 18
Challenge level
2 out of 3

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

Circle \pdf
problem

Circle PDF

Age
16 to 18
Challenge level
2 out of 3

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

PCDF
problem
Favourite

PCDF

Age
16 to 18
Challenge level
2 out of 3

When can a pdf and a cdf coincide?

Scale invariance
problem
Favourite

Scale Invariance

Age
16 to 18
Challenge level
3 out of 3
By exploring the concept of scale invariance, find the probability that a random piece of real data begins with a 1.
Exponential intersection
problem

Exponential Intersection

Age
16 to 18
Challenge level
3 out of 3

Can the pdfs and cdfs of an exponential distribution intersect?

Normal intersection
problem
Favourite

Normal Intersection

Age
16 to 18
Challenge level
3 out of 3
Explore the intersection possibilities for normal pdfs.