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Suppose the annual rainfall in the Southern California (in inches) is normally distributed with mean = 10 and variance o² = 25. A wet year occurs if the total rainfall falls is at least 2 standard deviations above the mean. a. Evaluate the probability of having a wet year. A. 0.085 B. 0.159 C. 0.023 D. 0.579 E. 0.977 b. Find the probability that, out of the next 10 years, there will at most two wet years. A. 0.020 B. 0.801 C. 0.845 D. 0.953 E. 0.999 c. Approximate the probability that out of the next 100 years, there will be at least 4 wet years. A. 0.578 B. 0.481 C. 0.336 D. 0.212

Suppose the annual rainfall in the Southern California (in inches) is normally distributed with mean = 10 and variance o² = 25. A wet year occurs if the total rainfall falls is at least 2 standard deviations above the mean. a. Evaluate the probability of having a wet year. A. 0.085 B. 0.159 C. 0.023 D. 0.579 E. 0.977 b. Find the probability that, out of the next 10 years, there will at most two wet years. A. 0.020 B. 0.801 C. 0.845 D. 0.953 E. 0.999 c. Approximate the probability that out of the next 100 years, there will be at least 4 wet years. A. 0.578 B. 0.481 C. 0.336 D. 0.212

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Suppose the annual rainfall in the Southern California (in inches) is normally distributed with mean = 10 and variance o2 = 25. A wet year occurs if the total rainfall falls is at least 2 standard deviations above the mean. a. Evaluate the probability of having a wet year. A. 0.085 B. 0.159 C. 0.023 D. 0.579 E. 0.977 b. Find the probability that, out of the next 10 years, there will at most two wet years. A. 0.020 B. 0.801 C. 0.845 D. 0.953 E. 0.999 c. Approximate the probability that out of the next 100 years, there will be at least 4 wet years. A. 0.578 B. 0.481 C. 0.336 D. 0.212 E. 0.145
Transcribed Image Text:Suppose the annual rainfall in the Southern California (in inches) is normally distributed with mean = 10 and variance o2 = 25. A wet year occurs if the total rainfall falls is at least 2 standard deviations above the mean. a. Evaluate the probability of having a wet year. A. 0.085 B. 0.159 C. 0.023 D. 0.579 E. 0.977 b. Find the probability that, out of the next 10 years, there will at most two wet years. A. 0.020 B. 0.801 C. 0.845 D. 0.953 E. 0.999 c. Approximate the probability that out of the next 100 years, there will be at least 4 wet years. A. 0.578 B. 0.481 C. 0.336 D. 0.212 E. 0.145
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