is
equally likely then the uniform distribution,
may
be suitable. The Uniform distribution may be either continuous eg
sometime in the next hour the postman will arrive, or discrete eg the
score on a fair dice.
A Level Maths Notes: S2 – The Uniform Distribution
If a probability distribution is such that any value
between two limitsis
equally likely then the uniform distribution,may
be suitable. The Uniform distribution may be either continuous eg
sometime in the next hour the postman will arrive, or discrete eg the
score on a fair dice.
The mean of the Uniform distribution is the midpoint of
the interval
where
the distribution is discrete or continuous is
the
variance
and
the probability density function
(for a continuous distribution) or probability mass function
(for
a discrete distribution with n possible outcomes) and cumulative
distribution function
whether the distribution is discrete or continuous. The cumulative
distribution function is for both continuous and discrete
distributions If the distribution is continuous then no, one or both
endpoints may be possible values for the random variable, but if the
distribution is discrete then both endpoints MUST be possible values
for the random variable.
Example: The lengths of snails are uniformly
distributed over the interval
with
the lengths of snails independent of each other. Find the probability
that two snails both have lengths less than 1.4.
Since the lengths of the snails are independent of each
other,