Question

On average, 0.61 soldiers in each corp of the Prussian cavalry were kicked to death by...

On average, 0.61 soldiers in each corp of the Prussian cavalry were kicked to death by horses each year. What is the probability that in the next year, exactly 3 soldiers will be kicked to death by a horse?

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

Homework Answers

Answer #1

I have answered the question below

Please up vote for the same and thanks!!!

Do reach out in the comments for any queries

Answer:

It follows a classic example of poisson distribution because,

where lambda = 0.61

=> for P (X =3) = e-lambda * lambdaX/ X = e-0.61 * 0.613 / 3 = 0.02056

Alternatively it can also be solved with the help of a poisson calculator.

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
In 1989, Ladislaus Bortkiewicz published a book titled The Law of Small Numbers. He used data...
In 1989, Ladislaus Bortkiewicz published a book titled The Law of Small Numbers. He used data collected over 20 years to show that the number of soldiers killed by horse kicks in each corps in the Prussian cavalry is a Poisson process with rate α = 0.61 per year. (a) (3 points) If we can expect 0.61 horsekick related deaths per year, as specified in the problem, how many horse kick related deaths would you expect over a two-year period...
There are on average 12.0 small airplane crashes in the US each year. What is the...
There are on average 12.0 small airplane crashes in the US each year. What is the standard deviation of the number of small airplane crashes that will happen in the US in the next 3 years? What is the probability that there will be exactly 10 small airplane crashes in the US in 2021? We will find the probability that there will be fewer than 14 small airplane crashes in the US in 2021, using normal approximation. In the process,...
the number of accidents on a particular highway average 4.4 per year. assume that the number...
the number of accidents on a particular highway average 4.4 per year. assume that the number of accidents follows a Poisson distribution. what is the probability that there are exactly four accidents next year? what is the probability that there are more than three accidents next year?
Company XYZ will pay a death benefit of $1000 to each of its 5000 employees who...
Company XYZ will pay a death benefit of $1000 to each of its 5000 employees who die in the upcoming year. There is 3% chance that an employee will die in the upcoming year. Determine the amount of funds that Company XYZ needs to have if the company wants to have a 95% probability of having sufficient money to pay the benefits. (You may ignore the continuity correction.)
On the average, there is one new customer calling in to a call center every 20...
On the average, there is one new customer calling in to a call center every 20 minutes. Assume the number of calls follows the Poisson process. (a) What is the probability that in the next 40 minutes, exactly 3 new customers will call? (b) What is the probability that there are no calls in the next hour?
Determine each of the following distributions (Bernoulli, Binomial, Geometric and Poisson) The average number of homes...
Determine each of the following distributions (Bernoulli, Binomial, Geometric and Poisson) The average number of homes sold by the Acme Realty company is 2 homes per day. What is the probability that exactly 3 homes will be sold tomorrow?
Assume that the monthly worldwide average number of airplane crashes of commercial airlines is 2.2. What...
Assume that the monthly worldwide average number of airplane crashes of commercial airlines is 2.2. What is the probability that there will be (a) more than 3 such accidents in the next month? 0.1807 (b) less than 2 such accidents in the next 3 months? (c) exactly 6 such accidents in the next 4 months?
Assume that the monthly worldwide average number of airplane crashes of commercial airlines is 2.2. What...
Assume that the monthly worldwide average number of airplane crashes of commercial airlines is 2.2. What is the probability that there will be (a) at least 3 such accidents in the next month? (b) at most 5 such accidents in the next 2 months? (c) exactly 7 such accidents in the next 4 months?
The return on Luccasen Corp. next year depends on how strong the economy is: Economy Probability...
The return on Luccasen Corp. next year depends on how strong the economy is: Economy Probability Return very strong 0.2 25% normal 0.4 8% weak 0.3 4% recession 0.1 -10% What is the expected return (average) based on this information? What is the standard deviation of these returns?
Suppose that on average 2 people in a major city die each year from alien attack....
Suppose that on average 2 people in a major city die each year from alien attack. Suppose that each attack is random and independent. (a) If X is the number of deaths from alien attack within the next year from a randomly selected major city, what type of random variable is X? (b) Use the Poisson approximation to approximate the probability that the next major city you visit will have at least 3 deaths due to alien attack? (c) Why...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT