In analyzing hits by bombs in a past war, a city was subdivided into 636 regions, each with an area of 1-mi².A total of 572 bombs hit the combined area of 636 regions. The Poisson distribution applies because we aredealing with the occurrences of an event (bomb hits) over some interval (a region with area of 1-mi².Find the mean number of hits per region:mean =Find the standard deviation of hits per region:standard deviation =If a region is randomly selected, find the probability that it was hit exactly twice.(Report answer accurate to 4 decimal places.)P(X= 2) =Based on the probability found above, how many of the 636 regions are expected to be hit exactly twice?(Round answer to a whole number.)ans =If a region is randomly selected, find the probability that it was hit at most twice.(Report answer accurate to 4 decimal places.)P(X ≤ 2) =

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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An outbreak of the deadly Ebola virus in 2002 and 2003 killed 91 of the 95 gorillas in 7 home ranges in the Congo. To study the spread of the virus, measure " distance" by the number of home ranges separating a group of gorillas from the first group infected. Here are data on distance and number of days until deaths began in each later group: Use a calculator or software to find the following values. (a) Find the mean and standard deviation of . MEAN: STANDARD DEVIATION: (b) Find the mean and standard deviation of y. MEAN: STANDARD DEVIATION: (c) Find the correlation between and y r Distance Days y E 445 347 418 304148 48
In analyzing hits by bombs in a past war, a city was subdivided into 638 regions, each with an area of 1-mi². A total of 529 bombs hit the combined area of 638 regions. The Poisson distribution applies because we are dealing with the occurrences of an event (bomb hits) over some interval (a region with area of 1-mi². Find the mean number of hits per region: mean = Find the standard deviation of hits per region: standard deviation If a region is randomly selected, find the probability that it was hit exactly twice. (Report answer accurate to 4 decimal places.) P(X = 2) = ans = = Based on the probability found above, how many of the 638 regions are expected to be hit exactly twice? (Round answer to a whole number.) If a region is randomly selected, find the probability that it was hit at most twice. (Report answer accurate to 4 decimal places.) P(X ≤ 2) = =
Samples are drawn from a population with mean 144 and standard deviation 43. Each sample has 12 randomly and independently chosen elements. Find the mean, uz, of the distribution of sample means.
For a certain type of computers, the length of time between charges of the battery is normally distributed with a mean of 62 hours and a standard deviation of 11 hours. John owns one of these computers and wants to know the number of hours when the computer would have 12% of its battery life left. Sketch the region in question. Write a sentence describing what your answer represents about the problem's specefics.
The lengths of brook trout caught in a certain Colorado stream are normally distributed with a mean of 14 inches and a standard deviation of 3 inches. What proportion of brook trout caught will be less than 18 inches in length?
Suppose that on a certain section of I-95, with a posted speed limit of 65 miles per hour, the speeds of all vehicles have a bell-shaped distribution with a mean of 72 mph and a standard deviation of 3 mph. Find the percentage of vehicles with the following speeds on this section of I-95: greater than 75 mph.
In a large city, researchers selected a random sample of 120 individuals who have multiple televisions in their house connected to a streaming device. Each individual was asked how many hours of streaming content they watch in a typical week. The sample had a mean of 12.5 hours. For which of the following populations is 12.5 hours a reasonable estimate of the mean hours of weekly streaming content watched? (A) All individuals who regularly watch streaming content (B) All individuals from this city who regularly watch streaming content (C) All individuals from this city with multiple streaming devices in their house (D) All individuals from this city with multiple streaming devices in their house who regularly watch streaming content (E) All 120 individuals in this city with multiple streaming devices in their home who regularly watch streaming content
In a 430-page manuscript, there are 270 randomly distributed misprints. Use the Poison approximation. Find the mean number 2 of misprints per page. Round to one decimal place as needed.
Assume that weights of adult females are normally distributed with a mean of 77 kg and a standard deviation of 22 kg. What percentage of individual adult females have weights between 71 kg and 83 kg? If samples of 100 adult females are randomly selected and the mean weight is computed for each sample, what percentage of the sample means are between 71 kg and 83 kg?
Suppose the ages of Internet shoppers have a mean of 32 years and a standard deviation of 5 years. If you select a random sample of 100 Internet shoppers, what is the probability that the average age of the sample is 30.9 years or more? (use the concept of sampling distribution of mean and central limit theorem)
A random sample of 11 items is drawn from a population whose standard deviation is unknown. The sample mean is x=920 and the sample standard deviation is s=25. Use Appendix D to find the values of student's t
The average score of all golfers for a particular course has a mean of 78 and a standard deviation of 5. Suppose 100 golfers played the course today. Find the probability that the average score of the 100 golfers exceeded 79, rounding to four decimal places.

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