2. If the annual precipitation X in a city is a normal variate with a mean of 50 in, and a coefficient of variation (CoV) of 0.2, determine the following: a. The standard deviation of X b. Р(Х < 30) с. Р(X > 60)
2. If the annual precipitation X in a city is a normal variate with a mean of 50 in, and a coefficient of variation (CoV) of 0.2, determine the following: a. The standard deviation of X b. Р(Х < 30) с. Р(X > 60)
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
If the annual precipitation X in a city is a normal variate with a mean of 50 in, and a coefficient
of variation (CoV) of 0.2, determine the following:
a. The standard deviation of X
b. P(X < 30)
c. P(X > 60)
d. P(40 < X ≤ 60)
e. Probability that X is within 5 in. from the mean annual precipitation
f. The value of x0 such that the probability of annual precipitation exceeding x0 is only 1/4 that of not exceeding x0
![2. If the annual precipitation X in a city is a normal variate with a mean of 50 in, and a coefficient
of variation (CoV) of 0.2, determine the following:
a. The standard deviation of X
b. Р(X < 30)
с. Р(X > 60)
d. P(40 <X<60)
e. Probability that X is within 5 in. from the mean annual precipitation
f. The value of Xo such that the probability of annual precipitation exceeding xo is only 1/4
that of not exceeding xo](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6bf2010b-19bd-4206-b7eb-97ad940f473c%2F0d2bae36-bf2d-4f67-9fe9-efb9d48abe5f%2F1wzznth_processed.png&w=3840&q=75)
Transcribed Image Text:2. If the annual precipitation X in a city is a normal variate with a mean of 50 in, and a coefficient
of variation (CoV) of 0.2, determine the following:
a. The standard deviation of X
b. Р(X < 30)
с. Р(X > 60)
d. P(40 <X<60)
e. Probability that X is within 5 in. from the mean annual precipitation
f. The value of Xo such that the probability of annual precipitation exceeding xo is only 1/4
that of not exceeding xo
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