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Broad Topics > Advanced Probability and Statistics > Probability density functions

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Into the Normal Distribution

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Investigate the normal distribution

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PCDF

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

When can a pdf and a cdf coincide?

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Into the Exponential Distribution

Stage: 5 Challenge Level: Challenge Level:1

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

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Scale Invariance

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

By exploring the concept of scale invariance, find the probability that a random piece of real data begins with a 1.

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Pdf Stories

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

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

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Exponential Intersection

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Can the pdfs and cdfs of an exponential distribution intersect?

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Circle Pdf

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

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

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Distribution Differences

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

How could you compare different situation where something random happens ? What sort of things might be the same ? What might be different ?

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Introducing Distributions

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

When five dice are rolled together which do you expect to see more often, no sixes or all sixes ?

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PDF

Stage: 5 Challenge Level: Challenge Level:1

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


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