Question
In: Statistics and Probability
A weather forecaster predicts that the May rainfall in a local area will be between 3...
A weather forecaster predicts that the May rainfall in a local
area will be between 3 and 7 inches but has no idea where within
the interval the amount will be. Let x be the amount of
May rainfall in the local area, and assume that x is
uniformly distributed over the interval 3 to 7 inches.
(a) Calculate the expected May rainfall. (Round your answer to 1 decimal place.)
(b) What is the probability that the observed May rainfall will fall within two standard deviations of the mean? Within one standard deviation of the mean? (Round all intermediate and final answers to 4 decimal places.)
Solutions
orchestra answered 1 year agoRelated Solutions
A weather forecaster predicts that the May rainfall in a local area will be between 2...
A weather forecaster predicts that the May rainfall in a local
area will be between 2 and 9 inches but has no idea where within
the interval the amount will be. Let x be the amount of
May rainfall in the local area, and assume that x is
uniformly distributed over the interval 2 to 9 inches.
(a) Calculate the expected May rainfall.
(Round your answer to 1 decimal place.)
μx____ inches
(b) What is the probability that the observed...
In an area of Russia, records were kept on the relationship between the rainfall (in inches)...
In an area of Russia, records were kept on the relationship
between the rainfall (in inches) and the yield of wheat (bushels
per acre).
Rainfall (inches)
Yield(Bushels per acre)
11
42.3
14.6
52
13.7
61.3
23.2
73.9
28.3
92.1
10.7
44.3
9.4
44.7
23.7
77.2
24.2
80.3
A) Create a scatterplot for the data above. The Yield is to be
the response variable. Describe the form, direction and strength of
the association between these two variables.
(B) Calculate a LSRE...
1. In an area of the Midwest, records were kept on the relationship between the rainfall...
1. In an area of the Midwest, records were kept on the
relationship between the rainfall (in inches)
and the yield of wheat (bushels per acre).
Rain (inches)
10.5
8.8
13.4
12.5
18.8
10.3
7.0
15.6
16.0
Yield (bushels/acre)
50.5
46.2
58.8
59.0
82.4
49.2
31.9
76.0
78.8
Find the correlation coefficient for the given data.
a. 4.267
b. 0.9808
c. 0.9620
d. 3.158
2.
A study was conducted to compare the average time spent in the
lab each...
The weather forecast predicts an 80% chance of rain in the next hour. If rain follows...
The weather forecast predicts an 80% chance of rain in the next
hour. If rain follows a poisson distri
bution, what is the chance of rain in the next HALF hour? Comment
on the difference between the
probability of rain in the next half hour versus the next hour.
Before doing a calculation, what do you
expect your answer to be:
Best guess for chance of rain in next half hour:
Calculation:
The weather forecast predicts an 80% chance of rain in the next hour. If rain follows...
The weather forecast predicts an 80% chance of rain in the next
hour. If rain follows a poisson distri- bution, what is the chance
of rain in the next HALF hour? Comment on the difference between
the probability of rain in the next half hour versus the next hour.
Before doing a calculation, what do you expect your answer to
be:
Best guess for chance of rain in next half hour:
calculation:
Cloud seeding has been studied for many decades as a weather modification procedure. The rainfall in...
Cloud seeding has been studied for many decades as a weather
modification procedure. The rainfall in acre-feet from 20 clouds
that were selected at random and seeded with Silver Nitrate
follows:
18.0
30.7
19.8
27.1
22.3
18.8
31.8
23.4
21.2
27.9
31.9
27.1
25.0
24.7
26.9
21.8
29.2
34.8
26.7
31.6
We need to test if the true mean
rainfall exceeds 25 acre-feet.
a. Write down the null and alternative hypotheses to be tested.
Clearly define the terms used.
b....
Cloud seeding has been studied for many decades as a weather modification procedure. The rainfall in...
Cloud seeding has been studied for many decades as a weather
modification procedure. The rainfall in acre feet from 20 clouds
that were selected at random and seeded with silver nitrate
follows: 18.0, 30.7, 19.8, 27.1, 22.3, 18.8, 31.8, 23.4, 21.2,
27.9, 31.9, 27.1, 25.0, 24.7, 26.9, 21.8, 29.2, 34.8, 26.7,
31.6
a) Is there evidence that the mean rainfall from seeded clouds
exceeds 25 acre-feet? (1 pt)
b) If the true mean rainfall is 27 acre-feet, what is the...
10. Weather forecast : athe table below indicates the accuracy of a local weather report with...
10. Weather forecast : athe table below indicates the accuracy
of a local weather report with respect to rain or no rain over the
past year. This table gives the results of 365 consecutive days and
compares whether it rained or not to whether or not rain was
predicted.
Did it actually rain?
yes No Report predicted Rain 102 18 Report predicted No Rain 40
205
If one day is randomly selected from these 365 days, what is the
probability...
The average number of rainfall events and storms in one month in an area is 10....
The average number of rainfall events and storms in
one month in an area is 10.
a. Calculate the chance that more than 1 rain event and a storm
will strike the area in a 2 week period.
b. What is the average number of rainfall events and storms
affecting the area in a period of 2 months
The ordinates of rainfall mass curve of a storm over a basin of area 850 km2...
The ordinates of rainfall mass curve of a storm over a basin of
area 850 km2 measured in mm at 1 hour intervals are 0, 10, 22, 30,
39, 45.5, 50, 55.5, 60, 64 and 68. If the infiltration during this
storm can be represented by horton’s equation with fo=6.5 mm/hr,
fc=1.5 mm/hr and k=0.15 /hr. Estimate the resulting runoff
volume.
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