Probability density functions

There are 9 NRICH Mathematical resources connected to Probability density functions
Scale invariance
problem
Favourite

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.
PCDF
problem
Favourite

PCDF

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

\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.

Distribution Differences
problem

Distribution differences

Age
14 to 16
Challenge level
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How could you compare different situation where something random happens ? What sort of things might be the same ? What might be different ?
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.

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?

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?