Question

We are studying deer population along an interstate highway. On average, there are 120 deer living...

We are studying deer population along an interstate highway. On average, there are 120 deer living within a three mile section on the highway. Assume the deer population follows the Poisson properties. Define the random variable x to be the number of deer we find within a certain length of highway. For all of the probability questions, show your work in Excel as demonstrated in class.

We are looking in a one mile section:

What is the expected number of deer in this section?

What is the probability we will find exactly 45 deer?

What is the probability we will find less than 45 deer?

What is the probability we will find more than 30 deer?

What is the probability we will find at least 30 deer?

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

Homework Answers

Answer #1

(for work in excel formulas are put in bold so that you can copy and paste then in any cell)

1)expected number of deer in this section =120/3 =40

2)probability we will find exactly 45 deer =P(X=45)=poisson(45,40,false) =0.0440

3) probability we will find less than 45 deer=P(X<45)=poisson(44,40,true) =0.7657

4)  probability we will find more than 30 deer=P(X>30)=1-P(X<=30)=1-poisson(30,40,true)=0.9383

5)

probability we will find at least 30 deer =P(X>=30)=1-P(X<=29)=1-poisson(29,40,true)=0.9568

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
We are studying deer population along an interstate highway. On average, there are 120 deer living...
We are studying deer population along an interstate highway. On average, there are 120 deer living within a three mile section on the highway. Assume the deer population follows the Poisson properties. Define the random variable x to be the number of deer we find within a certain length of highway. For all of the probability questions, show your work in Excel as demonstrated in class. What are the possible values of x? We are looking in a three mile...
The Texas Department of Transportation (TXDOT) is interested in studying the occurrence of defective paving along...
The Texas Department of Transportation (TXDOT) is interested in studying the occurrence of defective paving along a length of highway after a recent resurfacing project. The TXDOT team in charge of the project learn that defects occur at the average rate of two per mile on this type of resurfacing project, and obey the assumptions of a Poisson distribution. Find the probability of no (i.e., zero) defects in a particular 3-mile section of the highway. Hint: You'll need to calculate...
Thank you in advance! The District of Columbia Police Department are gathering highway speed data along...
Thank you in advance! The District of Columbia Police Department are gathering highway speed data along a section of the Capital Beltway to determine if the current speed limit is being followed. A radar speed detection device is used to measure the speeds of cars on the expressway. The speeds are normally distributed. The speed gun captures the speed of 6 vehicles as 80mph, 70mph, 100mph, 70mph, 80mph and 80mph. What is the mean of the speeds on the expressway...
February 3, 2009, was a very snowy day along Interstate 69 just outside of Indianapolis, Indiana....
February 3, 2009, was a very snowy day along Interstate 69 just outside of Indianapolis, Indiana. As a result of the slippery conditions and low visibility (50 yards or less), there was an enormous accident involving approximately 30 vehicles, including cars, tractor-trailers, and even a fire truck. Many witnesses said that people were driving too fast for the conditions and were too close together. In this problem, we explore two rules of thumb for driving in such conditions. The first...
The occurrence of rust attacks along a gas pipeline can be modeled as a Poisson process...
The occurrence of rust attacks along a gas pipeline can be modeled as a Poisson process with intensity λ per kilometer. This means that the number of rust attacks per kilometer along the pipeline can be assumed to be Poisson distributed with expectation value λ. In the first instance, suppose that it is known that λ = 5. a) What is the probability of just two rust attacks in half a kilometer? What is the probability of more than two...
For each of the following problems, you must: a) Define the population and the parameter of...
For each of the following problems, you must: a) Define the population and the parameter of interest; b) Identify the given and unknown information and write them in correct notations, c) Verify if the sampling distribution is approximately normal by checking the conditions np > 5 and nq > 5), d) Compute the probability. e) Interpret the answer. ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------- 1) The article “Should Pregnant Women Move? Linking Risks for Birth Defects with Proximity to Toxic Waste Sites” (Chance (1992): 40-45)...
The emergency telephone (911) center in a large city receives an average of 120 calls per...
The emergency telephone (911) center in a large city receives an average of 120 calls per hour during a typical day. On average, each call requires about 121 seconds for a dispatcher to receive the emergency call, determine the nature and location of the problem, and send the required individuals (police, firefighters, or ambulance) to the scene. The center is currently staffed by 4 dispatchers a shift but must have an adequate number of dispatchers on duty and it has...
Instructions: Write probabilities to four decimal places (percentages to two decimal places). Draw bell curves to...
Instructions: Write probabilities to four decimal places (percentages to two decimal places). Draw bell curves to illustrate each desired areas. Use the correct probability notation (e.g. P(X >12.5) = P(z > 1.2) …. Use the Standard Normal Distribution Table to answer Questions 1 & 8). 1. The total blood cholesterol levels in a certain Mediterranean population are found to be normally distributed with a mean of 160 milligrams/deciliter (mg/dL) and a standard deviation of 50 mg/dL. Researchers at the National...
1.A fair die is rolled once, and the number score is noted. Let the random variable...
1.A fair die is rolled once, and the number score is noted. Let the random variable X be twice this score. Define the variable Y to be zero if an odd number appears and X otherwise. By finding the probability mass function in each case, find the expectation of the following random variables: Please answer to 3 decimal places. Part a)X Part b)Y Part c)X+Y Part d)XY ——- 2.To examine the effectiveness of its four annual advertising promotions, a mail...
MATHEMATICS 1. The measure of location which is the most likely to be influenced by extreme...
MATHEMATICS 1. The measure of location which is the most likely to be influenced by extreme values in the data set is the a. range b. median c. mode d. mean 2. If two events are independent, then a. they must be mutually exclusive b. the sum of their probabilities must be equal to one c. their intersection must be zero d. None of these alternatives is correct. any value between 0 to 1 3. Two events, A and B,...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT