What type of data is used with the continuous uniform distribution when generating random observations? OOOOdata with unknown distributionsdata generated from symmetrical distributionsdata with constant probability within a specified rangedata generated from nonsymmetrical distributions

Let X follows uniform distribution with range a to b. X~ U(a,b)

Answered: What type of data is used with the…

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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The number of clients arriving at a bank machine is Poisson distributed with an average of 2 per minute. For a 5-minute period, Find the expected value and standard deviation. What is the probability that 2 customers will arrive in a 5-minute period? What is the probability that no more than 2 customers will arrive in a 5-minute period? What are the underlying assumptions that allow us to consider this phenomenon as a Poisson distribution?
If the random variable x has a Poisson Distribution with mean μ = 3.95, find the probability that x = 16.
A research team is working on a project to study the time (in seconds) for high school male runners to finish a 400-meter race. Jimmy, a junior researcher in the team, has randomly selected a sample of 25 male runners from a high school and the time (in seconds) for each of them to complete a 400-meter race was recorded. The sample mean running time was 53 seconds. It is assumed that the running time in a 400-meter race follows a normal distribution with a population standard deviation of 5.5 seconds.(a) Give a point estimate of the population mean running time for a 400-meter race.(b) Calculate the sampling error at 95% confidence level.(c) Construct a 95% confidence interval estimate of the population mean running time for a 400-meter race.
For a Poisson random variable, what is the relationship between its parameter and its mean?
The life span of a certain wood cutting machine manufactured by a factory has a normal distribution with a guarantee that any machine that stars malfunctioning within 36 months of the purchase will be replaced by a new one. How many percentages of machines are expected to be replaced in the following cases? Mean of 60 months and variance of 64 months2 Mean of 45 months and variance of 36 months2 Mean of 75 months and variance of 16 months2
Determine the continuous uniform distri- bution that has the same mean and same variance as a x²-distribution with 9 degrees of freedom. Give the right end point of the distribution.
The number of goals scored at state college hockey games follows as poisson distribution with a mean of five goals per game. Find the probability that a randomly selected state college hockey game would have more than three goals
Flying over the western states with mountainous terrain in a small aircraft is 40% riskier than flying over similar distances in flatter portions of the nation, according to a General Accounting Office study completed in response to a congressional request. The accident rate for small aircraft in the 11 mountainous western states is 2.4 accidents per 100,000 flight operations. (a) Let r = number of accidents for a given number of operations. Explain why the Poisson distribution would be a good choice for the probability distribution of r. Frequency of accidents is a rare occurrence. It is reasonable to assume the events are independent.Frequency of accidents is a common occurrence. It is reasonable to assume the events are independent. Frequency of accidents is a common occurrence. It is reasonable to assume the events are dependent.Frequency of accidents is a rare occurrence. It is reasonable to assume the events are dependent. (b) Find the probability of no accidents in 100,000…
Explain why the Gaussian Distribution is the most important probability distribution in statistical analysis. Describe the conditions under which it maybe used as an approximation to the Poisson and Binomial Distributions.

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