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Suppose the yearly rainfall totals for a some city follow a normal distribution, with mean of 18 inches and standard deviation of 6 inches. For a randomly selected year, what is the probability, P, that total rainfall will be in each of the following intervals? (Round all answers to four decimal places.)
(a) Less than 12 inches.
P = ?
(b) Greater than 27 inches.
P = ?
(c) Between 12 and 24 inches.
P = ?
(d) Greater than 35 inches.
P = ?

  • math -

    Z = (score-mean)/SD

    Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportions related to the Z scores you find.

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