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Challenge level: Challenge Level:1 Challenge Level:2 Challenge Level:3

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Broad Topics > Stage 5 Statistics Mapping Document > Sm - Continuous RVs

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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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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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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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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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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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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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What's Your Mean?

Stage: 5 Challenge Level: Challenge Level:1

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

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Normal Intersection

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

Explore the intersection possibilities for normal pdfs.