List

Random Variables - Continuous

PDF
problem

PDF

Age
16 to 18
Challenge level
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Given a probability density function find the mean, median and mode of the distribution.

What's your mean?
problem
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What's your mean?

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

PDF stories

Age
16 to 18
Challenge level
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Invent scenarios which would give rise to these probability density functions.

Circle \pdf
problem

Circle PDF

Age
16 to 18
Challenge level
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What happens if this pdf is the arc of a circle?

PCDF
problem
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PCDF

Age
16 to 18
Challenge level
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When can a pdf and a cdf coincide?

Scale invariance
problem
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Scale invariance

Age
16 to 18
Challenge level
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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
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Can the pdfs and cdfs of an exponential distribution intersect?
Normal intersection
problem
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Normal intersection

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