Question
In: Math
The number of floods that occur in a certain region over a given year is a...
The number of floods that occur in a certain region over a given
year is a random variable having a Poisson distribution with mean
2, independently from one year to the other. Moreover, the time
period (in days) during which the ground is flooded, at the time of
an arbitrary flood, is an exponential random variable with mean 5.
We assume that the durations of the floods are independent. Using
the central limit theorem, calculate (approximately)
(a) the probability that over the course of the next 50 years,
there will be at least 80 floods in this region. Assume that we do
not need to apply half-unit correction for this question.
(b) the probability that the total time during which the ground will be flooded over the course of the next 50 floods will be smaller than 200 days.
Solutions
milcah answered 1 year agoRelated Solutions
Suppose that over a certain region of space the electrical potential V is given by the...
Suppose that over a certain region of space the electrical
potential V is given by the following equation.
V(x, y,
z) = 4x2 −
4xy + xyz
(a) Find the rate of change of the potential at P(3, 6,
6) in the direction of the vector v =
i + j − k.
???
(b) In which direction does V change most rapidly at
P?
???
(c) What is the maximum rate of change at P?
???
Suppose that in a certain region of California, earthquakes occur at the average rate of 7...
Suppose that in a certain region of California, earthquakes
occur at the average rate of 7 per year.
(a) What is the probability that in exactly three of the next
eight years, no earthquakes occur?
(b) What is the **expect**ed number of years to wait until we
have a year with exactly 7 earthquakes?
(c) In the next century, how many years would you **expect** to
see with more than 10 earthquakes?
Hint: When you see the word "expect" you...
Listed below are the numbers of hurricanes that occurred in each year in a certain region....
Listed below are the numbers of hurricanes that occurred in each
year in a certain region. The data are listed in order by year.
Find the range, variance, and standard deviation for the given
sample data. Include appropriate units in the results. What
important feature of the data is not revealed by any of the
measures of variation?
20 3 13 9 17 19 6
10 20 5 13 6 18 11
The range of the sample data is.............( Round...
Listed below are the numbers of hurricanes that occurred in each year in a certain region....
Listed below are the numbers of hurricanes that occurred in each
year in a certain region. The data are listed in order by year.
Find the range, variance, and standard deviation for the given
sample data. Include appropriate units in the results. What
important feature of the data is not revealed by any of the
measures of variation? 11, 6, 10, 10, 8, 10, 17, 8, 1, 10, 7, 5,
19, 15
The range of the sample data is ___...
In a certain region, 20% of people over age 50 didn't graduate from high school. We...
In a certain region, 20% of people over age 50 didn't graduate
from high school. We would like to know if this percentage is the
same among the 25-30 year age group. Use critical values to exactly
3 decimal places.
(a) How many 25-30 year old people should be surveyed in order to
estimate the proportion of non-grads to within 7% with 95%
confidence?
(b) Suppose we wanted to cut the margin of error to 4%. How many
people should...
In a certain region, 24% of people over age 50 didn't graduate from high school. We...
In a certain region, 24% of people over age 50 didn't graduate
from high school. We would like to know if this percentage is the
same among the 25-30 year age group. Use critical values to exactly
3 decimal places.
(a) How many 25-30 year old people should be surveyed in order to
estimate the proportion of non-grads to within 6% with 99%
confidence?
(b) Suppose we wanted to cut the margin of error to 2%. How many
people should...
A magic number is the name given to certain numbers of protons or neutrons that have...
A magic number is the name given to certain numbers of
protons or neutrons that have a high correlation to stability in
nuclei:
magic numbers of protons:magic numbers of
neutrons:2,8,20,28,50,822,8,20,28,50,82,126,184
A plot of the number of neutrons versus the number of protons
for all known stable nuclei, represented by reddish brown dots on
the graph, shows that these nuclei cluster together in a region
known as the valley of stability. Nuclei with a ratio that is too
high tend to...
1.The critical region is the proportion of the sampling distribution that is: A.unlikely to occur if...
1.The critical region is the proportion of the sampling
distribution that is:
A.unlikely to occur if the alternative hypothesis is true
B.likely to occur if the null hypothesis is true
C.unlikely to occur if the null hypothesis is true
D.unlikely to occur if either the null or alternative hypothesis
is true
2.If you are provided the population standard deviation (sigma)
and are testing the potential effect of a treatment on that
population using sample data, then which of the following...
What is translation and what region of a cell does it occur in a cell?
What is translation and what region of a cell does it occur in a
cell?What non-membrane bound structure in a cell is involved in the
process of translation, where are the two places they can be found
in a eukaryote?How many nucleotides on mRNA code for one amino acid, and what
is the name of the unit on mRNA that codes for that one amino
acid?What is an anticodon and where do you find it?What is the role of tRNA...
The table below shows the number of students in each year at a certain university: Year...
The table below shows the number of students in each year at a
certain university:
Year of study 1 2 3 4 5 6 7
No. of students 300 280 275 175 92 48 30
You would like to select a random sample of 100 students from
this university.
i. Explain how you would choose a simple random sample.
ii. Explain how you would choose a sample using systematic
(interval) sampling method.
iii. If you use stratified sampling method to...
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- Asymptotic Notation. (a) [10 pts.] Prove that n3 −91n2 −7n−14 = Ω(n3). Your answer must clearly...
- Prepare ONE Page reflection to the readings of the Perceptual Process incorporating as well one outside...
- How is the internet affecting our everyday life? I just need a rough draft for this...
- Please explain your view of the most difficult aspect of Customs Compliance?
- You are required to write an interactive program that prompts the user for seven (7) real...
- Describe in detail the five-forces model of industry competition. What causes each of the forces to...
- Java Programming. I'm writing this in an IDE called Eclipse. If you could also use comments...
ADVERTISEMENT