Question

Question: a. Suppose that earthquakes occur in the western portion of the United States at a...

Question:

a. Suppose that earthquakes occur in the western portion of the United States at a Poisson rate of 3 per week. Find the probability that at least 4 earthquakes occur in the next week.

b. According to a survey, a university professor gets, on average, 70 emails per day. Let x(t) =  the number of emails a professor receives in t days. Find the probability a professor receives at least 160 emails in 2 days.

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Earthquakes occur in the United States according to a Poisson process at a constant rate of...
Earthquakes occur in the United States according to a Poisson process at a constant rate of 0.05 earthquakes per day. Suppose we begin observing earthquakes at some point in time. On average how long will it be (in days) between the 6th and 7th earthquakes? Answer to the nearest integer.
In a particular location, earthquakes occur according to a Poisson process, at an average rate of...
In a particular location, earthquakes occur according to a Poisson process, at an average rate of 0.25 earthquakes per week. Suppose we observe this location for a year (52 weeks). What is the probability that we will observe exactly the expected number of earthquakes? Select one: a. 0.77 b. 0.11 c. 0.43 d. 0.23 e. 0.57
Flying over the western states with mountainous terrain in a small aircraft is 40% riskier than...
Flying over the western states with mountainous terrain in a small aircraft is 40% riskier than flying over similar distances in flatter portions of the nation, according to a General Accounting Office study completed in response to a congressional request. The accident rate for small aircraft in the 11 mountainous western states is 3.0 accidents per 100,000 flight operations. (a) Let r = number of accidents for a given number of operations. Explain why the Poisson distribution would be a...
A certain area in the Southeastern United States is hit by an average of 2.1 tropical...
A certain area in the Southeastern United States is hit by an average of 2.1 tropical storms per year.             Assume that tropical storms occur randomly and independently and can be modelled as a Poisson random variable.             a.   Find the probability that for a given year the area will be hit by two or more tropical storms.             b.   Find the probability that there is at least one tropical storm in each of the next three years. IN part...
1) In some country, the health agency declared that the rate of catching a virus is...
1) In some country, the health agency declared that the rate of catching a virus is 4 persons per day. Assuming that this rate remains constant over time, answer the following: Write the probability density function that describes the probability of number of people catching the virus per day, and then calculate the probability that 45 people catch the virus per day. Calculate that at least 4 people catch the virus per day. Calculate the probability that 20 people catch...
Bighorn sheep are beautiful wild animals found throughout the western United States. Let x be the...
Bighorn sheep are beautiful wild animals found throughout the western United States. Let x be the age of a bighorn sheep (in years), and let y be the mortality rate (percent that die) for this age group. For example, x = 1, y = 14 means that 14% of the bighorn sheep between 1 and 2 years old died. A random sample of Arizona bighorn sheep gave the following information: x 1 2 3 4 5 y 16.0 18.7 14.4...
The mean number of heart transplants performed per day in the United States in a recent...
The mean number of heart transplants performed per day in the United States in a recent year was about six. Find the probability that the number of heart transplants performed on any given day is a) exactly seven, b) at least four c) no more than four.
In the western United States, there are many dry-land wheat farms that depend on winter snow...
In the western United States, there are many dry-land wheat farms that depend on winter snow and spring rain to produce good crops. About 65% of the years there is enough moisture to produce a good wheat crop, depending on the region. (a) Let r be a random variable that represents the number of good wheat crops in n = 8 years. Suppose the Zimmer farm has reason to believe that at least 4 out of 8 years will be...
Bighorn sheep are beautiful wild animals found throughout the western United States. Let x be the...
Bighorn sheep are beautiful wild animals found throughout the western United States. Let x be the age of a bighorn sheep (in years), and let y be the mortality rate (percent that die) for this age group. For example, x = 1, y = 14 means that 14% of the bighorn sheep between 1 and 2 years old died. A random sample of Arizona bighorn sheep gave the following information: x 1 2 3 4 5 y 15.6 18.7 14.4...
According to the United National Environmental Program and World Health Organization, in Mumbai, India, air pollution...
According to the United National Environmental Program and World Health Organization, in Mumbai, India, air pollution standards for particulate matter are exceeded an average of 5.6 days in every three-week period. Assume that the distribution of number of days exceeding the standards per three-week period is Poisson distributed. Appendix A Statistical Tables (Round your answers to 4 decimal places.) a. What is the probability that the standard is not exceeded on any day during a three-week period? b. What is...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT