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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1) The mean and variance of a sample of 25 data items are 78 and 100, respectively. Use Chebyshev's theorem to describe the distribution of the data.
The rate of return for firms on the stock market is normally distributed with a 7.5% average rate of return (the mean) with a standard deviation of 2.5%. A What proportion of firms will earn a return between 4% and 8%? B To the nearest percent find the probability of a firm earning 3% or less per year. If there are 1000 firms listed on the stock market, then how many firms earn a return of less than 3% a year? C To the nearest percent, find the probability of a firm earning 8% return in a year. if there are still 1000 firms listed on the stock markeet then how many firms will earn a return of 8% or higher? D What rate of return would put a firm in the top 20%?
A quality control engineer at Shell visits 80 gas stations and collects a fuel sample from each. She measures the sulphur content in the gas and sorts the samples into 4 different batches. She finds: 19 samples with less than 180 ppm sulphur, 20 samples with between 180 and 230 ppm, 23 samples with between 230 and 280 ppm, and 18 samples with more than 280 ppm. Does the sulphur content of gas follow a normal distribution with a mean of 230 ppm and a standard deviation of 50 ppm at the 5% significance level
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.
Suppose the weight of watermelons produced in Adana follows the normal distribution with mean 7.2 kg and standard deviation 2.4. Find the proportion of these watermelons that weight heavier than 7.5kg. If we randomly select one of these watermelons, find the probability that its weight will be less than 7kg.
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 frequency distribution table below is the net weight of a sample of candied fruit products in the food industry cans "ABC": - How many cans have a net weight of less than 20.2 grams. - If we want to compare about the distribution of net weight with the food company "XYZ" for the same type of product. And it is known that the average and variance is 20 grams and 0.04 grams. Which food company has an even distribution of net weight.
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
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