Five observations where generated fromtheexponential distribution with mean 10 and cdfF(x) =1- exp(-x/10), x>0. The uniform randomnumbers used for generation are 0.15, 0.2, 0.4, 0.45,0.7. Then an estimate of TVaRo 75(X) based on thesample isO 2.859O 10.552O 9.009O 5.555->

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Answered: Five observations where generated from…

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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A random variable x following binomial distribution with p = 0.32 and n = 25. Find i) Mean and ii) standard deviation
Assume that the amount of weight that male college students gain during their freshman year are normally distributed with a. Mean of u= 1.2 kg and a standard deviation of o= 5.1 kg A. If 1 male college student is randomly selected, Find the probability that he gains between 0 and 3 kg during freshman year B. If 25 male college students are randomly selected find the probability that their mean weight gain during freshman year is between 0 and 3 kg why can the normal distribution be used on pet b even though the sample size does not exceed 30?
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) = =
If X is a uniformly distributed random variable with a = 4 and b = 8 then, calculate the standard deviation of x? Round to three decimal places CS Scanned with CamScanner
please state the approximate distribution of the sample mean
Solve by showing steps properly
A random variable x follows Poisson distribution with average 7, Find p(x=4) = Round to 4 decimals
1 p = 0.28 Za/2=2.321 m = 0.03 What sample size is needed. (2.326 2 72 = 0.28(1-0.28) (-0.03)
The average wait time to get seated at a popular restaurant in the city on a Friday night is 12 minutes. Is the mean wait time greater for men who wear a tie? Wait times for 13 randomly selected men who were wearing a tie are shown below. Assume that the distribution of the population is normal. 13, 13, 11, 13, 13, 13, 13, 10, 12, 13, 13, 10, 13 What can be concluded at the the αα = 0.05 level of significance level of significance? The null and alternative hypotheses would be: H0 = (p,u) (<,>,=,not equal) to _____ H1 = (p,u) (<,>,=,not equal) to _____ The test statistic (t,z) = ___ The p-value = _____ Thus, the final conclusion is that ... The data suggest that the population mean wait time for men who wear a tie is not significantly more than 12 at αα = 0.05, so there is statistically insignificant evidence to conclude that the population mean wait time for men who wear a tie is more than 12. The data suggest the population mean is not significantly more than 12…
A population of v alues has a normal distribution with μ=48.2 and σ=93.1You intend to draw a random sample of size n=232. Find the value separating the bottom 89% values from the top 11% values. Find the sample mean separating the bottom 89% sample means from the top 11% sample means.
10
Suppose the random variable X is normally distributed with mean 88 and standard deviation 5. Let Z be distributed acording to the standard normal distribution. Then P(X> 95.35) is the same as P(Z > Enter an integer or decimal number more.. Round to two dreniment.

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Five observations where generated from exponential distribution with mean 10 and cdf F(x) =1- exp(-x/10), x>0. The uniform random the numbers used for generation are 0.15, 0.2, 0.4, 0.45, 0.7. Then an estimate of TVaRo.75(X) based on the sample is O 2.859 10.552 O 9.009 O 5.555