The annual rainfall (in cm) in a remote Middle Eastern country is a random variable with probability density function defined by (a) Find the mean annual rainfall (b) Find the standard deviation (c) Find the probability of a year with rainfall less than 1 standard deviation below the mean f(x) 5 5 x 15 9 for x in 0, 5

Question: The annual rainfall (in cm) in a remote Middle Eastern country is a random variable with probability density function defined by (a) Find the mean

The annual rainfall (in cm) in a remote Middle Eastern country is a random variable with probability density function defined by f(x) = = 5.5 - x 15 9 for x in [0,

(a) Find the mean annual rainfall.
(b) Find the standard deviation.
(c) Find the probability of a year with rainfall less than 1 standard deviation below the mean.

f(x) = = 5.5 - x 15 9 for x in [0, 5].

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