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Statistics - Probability

WNAE, an AM station totally dedicated to deliver news, found that while the Distribution of listeners tune in the station follows the normal Distribution. Distribution of the average is 15.0 minutes and standard deviation is 3.5. What is the probability that a particular listener in tune to the station at:
a)more than 20 minutes?
b) for 20 minutes or less?
c) c) between 10 and 12 minutes?

Solution Preview

m = 15, s = 3.5

z = (x - m)/s

(a) z = (20 - 15)/3.5 = 1.4286

P(x > 20 ...

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