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Advanced probability and statistics Probability density functions

Resources tagged with: Probability density functions

Content type:
Age range:
Challenge level:

There are 9 NRICH Mathematical resources connected to Probability density functions, you may find related items under Advanced probability and statistics.

Broad Topics > Advanced probability and statistics > Probability density functions

Problem Primary curriculum Secondary curriculum

Into the Normal Distribution

Investigate the normal distribution

Age 16 to 18
Challenge Level Yellow starYellow star
Problem Primary curriculum Secondary curriculum

PCDF

When can a pdf and a cdf coincide?

Age 16 to 18
Challenge Level Yellow starYellow star
Problem Primary curriculum Secondary curriculum

Into the Exponential Distribution

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

Age 16 to 18
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

Scale Invariance

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

Age 16 to 18
Challenge Level Yellow starYellow starYellow star
Problem Primary curriculum Secondary curriculum

pdf Stories

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

Age 16 to 18
Challenge Level Yellow starYellow star
Problem Primary curriculum Secondary curriculum

Exponential Intersection

Can the pdfs and cdfs of an exponential distribution intersect?

Age 16 to 18
Challenge Level Yellow starYellow starYellow star
Problem Primary curriculum Secondary curriculum

Circle pdf

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

Age 16 to 18
Challenge Level Yellow starYellow star
Problem Primary curriculum Secondary curriculum

Distribution Differences

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

Age 14 to 16
Challenge Level Yellow starYellow star
Problem Primary curriculum Secondary curriculum

PDF

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

Age 16 to 18
Challenge Level Yellow starYellow starYellow star

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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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