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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
Investigate the normal distribution
When can a pdf and a cdf coincide?
Get into the exponential distribution through an exploration of its pdf.
By exploring the concept of scale invariance, find the probability that a random piece of real data begins with a 1.
Invent scenarios which would give rise to these probability density functions.
Can the pdfs and cdfs of an exponential distribution intersect?
What happens if this pdf is the arc of a circle?
How could you compare different situation where something random happens ? What sort of things might be the same ? What might be different ?
Given a probability density function find the mean, median and mode of the distribution.