Question

Find the probability that the number of soldiers killed by horse kicks in a Prussian cavalry...

Find the probability that the number of soldiers killed by horse kicks in a Prussian cavalry corps over a six-month period exceeds two standard deviations above its mean value. Clearly define the random variable of interest using the context of this problem.

Homework Answers

Answer #1

Let X be the random variable denoting the number of soldiers killed by horse kicks in a Prussian cavalry corps over a six-month period

We need to find :

P(X > 2*SD + Mean)

We use Excel function "NORMSDIST()" as :

Hence,

Probability that the number of soldiers killed by horse kicks in a Prussian cavalry corps over a six-month period exceeds two standard deviations above its mean value = 0.0228

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

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...
Suppose that the number of spam emails that Alex receives has a Poisson distribution with µ...
Suppose that the number of spam emails that Alex receives has a Poisson distribution with µ = 2.3 per day. What is the probability that the number of spam emails Alex receives in a day is within one standard deviation of the mean? Clearly state the random variable of interest using the context of the problem and what probability distribution it follows.
The Winnipeg Health Region states that the number of people per year in the Winnipeg area...
The Winnipeg Health Region states that the number of people per year in the Winnipeg area who contract flesh-eating disease is a random variable with a mean of 4.6. Let us suppose, the random variable is denoted by X. (a) What is the distribution of X. Give the mean and standard deviation of X. (b) What is the probability that six people will contract flesh-eating disease in the Winnipeg region during a year? (c) What is the probability that between...
Find the mean, the variance, and the standard deviation of the given probability distribution. The random...
Find the mean, the variance, and the standard deviation of the given probability distribution. The random variable X is the number of shoes sold by a retail sales associate in a single month at the Shoe Stop Alley.   x P(x) 1 0.12 2 0.27 3 0.38 4 0.14 5 0.09 A. Can you determine based on the table above if it is a probability distribution? B. If it is, find the mean. C. If it is, find the variance. D.If...
A business has six customer service telephone lines. Consider the random variable x = number of...
A business has six customer service telephone lines. Consider the random variable x = number of lines in use at a randomly selected time. Suppose that the probability distribution of x is as follows. x 0 1 2 3 4 5 6 0.05 0.10. 0.17 0.41. 0.17 0.07 0.03 Calculate the mean value and standard deviation of x. (Round your standard deviation to four decimal places.) μx= σx= What is the probability that the number of lines in use is...
A business has six customer service telephone lines. Consider the random variable x = number of...
A business has six customer service telephone lines. Consider the random variable x = number of lines in use at a randomly selected time. Suppose that the probability distribution of x is as follows. x 0 1 2 3 4 5 6 p(x) 0.05 0.10 0.18 0.39 0.18 0.07 0.03 (a) Calculate the mean value and standard deviation of x. (Round your standard deviation to four decimal places.) μx = σx = (b) What is the probability that the number...
Minitab may be used, attach or include your output if you use Minitab to find answers....
Minitab may be used, attach or include your output if you use Minitab to find answers. 1) Shower temperature at the Spokane Club showers is regulated automatically. The heater kicks in when the temperature falls to 980F and shuts off when the temperature reaches 1080 Water temperature then falls slowly until the heater kicks in again. At a given moment, the water temperature is a uniformly distributed random variable U(98,108). Show your work. (15 points) Find the mean temperature. Find...
A rivet is to be inserted into a hole. If the standard deviation of hole diameter...
A rivet is to be inserted into a hole. If the standard deviation of hole diameter exceeds 0.02 mm, there is an unacceptably high probability that the rivet will not fit. A random sample of n = 15 parts is selected, and the hole diameter is measured. The sample standard deviation of the hole diameter measurements is s = 0.016mm. At α = 0.05 conduct a hypothesis test to investigate to indicate that the standard deviation of hole diameter exceeds...
A fair die is rolled 500 times. Find the probability that a number 2 or less...
A fair die is rolled 500 times. Find the probability that a number 2 or less comes up on at most 150 rolls. b. The scores on a psychological profile test given to job applicants at a nuclear facility are known to be normally distributed with a mean of 65 and a standard deviation of 10. 1. What score is required for an applicant to be in the top 10%? 2. Suppose a random sample of 16 applicants is selected,...
The resting heart rate for an adult horse should average about μ = 42 beats per...
The resting heart rate for an adult horse should average about μ = 42 beats per minute with a (95% of data) range from 18 to 66 beats per minute. Let x be a random variable that represents the resting heart rate for an adult horse. Assume that x has a distribution that is approximately normal. (a) The empirical rule indicates that for a symmetrical and bell-shaped distribution, approximately 95% of the data lies within two standard deviations of the...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT