The random variable x represents depth of precipitation in July. Between values of x = 0 and x = 30, the probability density function has the equation f(x) = x/40μx. In the past, the average July precipitation μx was 30 in.
(a) Determine the probability that next July’s precipitation will not exceed 20 in.
(b) Determine the single probability that the July precipitation will equal or exceed 30 in. in all of five consecutive years.
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