Question

For a certain watershed, the mean runoff x = 25.6 cfs. If the Gumbel distribution is used to fit the data and the 100 years runoff (X100) = 66.8, then the 50 year runoff is:

Answer #1

a) The flow in a river can be modeled as a log-normal
distribution. From the data, it was estimated that, the probability
that the flow exceeds 862 cfs is 50% and the probability that it
exceeds 100 cfs is 90%. Let X denote the flow in cfs in the river.
What is the mean of log (to the base 10) of X? Please report your
answer in 3 decimal places.
b) The flow in a river can be modeled as...

The flow in a river can be modeled as a log-normal distribution.
From the data, it was estimated that, the probability that the flow
exceeds 1018 cfs is 50% and the probability that it exceeds 100 cfs
is 90%. Let X denote the flow in cfs in the river. What is the mean
of log (to the base 10) of X?
3.304 is incorrect.

question: 4.Suppose you have a distribution, X, with mean = 11
and standard deviation = 4. Define a new random variable Y = 2X -
2. Find the mean and standard deviation of Y.
question 5:In testing a certain kind of missile, target accuracy
is measured by the average distance X (from the target) at which
the missile explodes. The distance X is measured in miles and the
sampling distribution of X is given by:
X
0
10
50
100...

The flow in a river can be modeled as a log-normal distribution.
From the data, it was estimated that, the probability that the flow
exceeds 946 cfs is 50% and the probability that it exceeds 100 cfs
is 90%. Let X denote the flow in cfs in the river. Flood conditions
occur when flow is 5000 cfs or above. To compute the percentage of
time flood conditions occur for this river, we have to find,
P(X≥5000)=1-P(Z<a). What is the value...

Assume that the Poisson distribution applies and that the mean
number of hurricanes in a certain area is 5.6 per year.
a. Find the probability that, in a year, there will be 3
hurricanes.
b. In a 35-year period, how many years are expected to have 3
hurricanes?
c. How does the result from part (b) compare to a recent period
of 35 years in which 3 years had 3 hurricanes? Does the Poisson
distribution work well here?

Assume that the Poisson distribution applies and that the mean
number of hurricanes in a certain area is 7.1 per year.
a. Find the probability that, in a year, there will be 5
hurricanes.
b. In a 45 year period, how many years are expected to have 5
hurricanes?
c. How does the result from part (b) compare to a recent period
of 45 years in which 5 years had 5 hurricanes? Does the Poisson
distribution work well here?

Assume that the Poisson distribution applies and that the mean
number of hurricanes in a certain area is 5.2 per year.
a. Find the probability that, in a year, there will be 4
hurricanes.
b. In a 35-year period, how many years are expected to have 4
hurricanes?
c. How does the result from part (b) compare to a recent period
of 35 years in which 5 years had 4 hurricanes? Does the Poisson
distribution work well here?

Assume that the Poisson distribution applies and that the mean
number of hurricanes in a certain area is 6.9 per year. a. Find the
probability that, in a year, there will be 4 hurricanes. b. In a
55-year period, how many years are expected to have 4
hurricanes? c. How does the result from part (b) compare to a
recent period of 55 years in which 5 years had 4 hurricnes? Does
the Poisson distribution work well here? (Round to...

In a certain distribution, the mean is
80
with a standard deviation of
4.
Use Chebyshev's Theorem to tell the probability that a number
lies between
60
and
100

Let
X represent the height a certain species of tree. Assume that
distribution with a mean of 138.7 ft and a standard deviation of
9.9 ft. has a normal probability A tree of this type grows in my
backyard, and it 107 feet callFind the probability that the height
of a randomly selected tree is as tall as mine or shorter

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