Nis the random variable for the number of accidents in a single year. Nfollows thedistribution:Pr(N= n) = 0.9(0.1)"-'n = 1, 2,...X, is the random variable for the claim amount of the ith accident. X, follows thedistribution:g(x,) = 0.01 e 0.01x, x,>0, i= 1, 2,...Let Uand V,, V,... be independent random variables following the uniform distribution on(0, 1). You use the inverse transformation method with U to simulate Nand V, to simulateX, with small values of random numbers corresponding to small values of Nand X,.You are given the following random numbers for the first simulation:uV2V3V40.050.300.220.520.46Calculate the total amount of claims during the year for the first simulation.

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Answered: N is the random variable for the number…

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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Q6. The time to failure of a very sensitive part follows a Weibull distribution with a = 1 hour and B - 1. Calculate the probability that the screen will last exactly for 4 hours? (Assume e=2.718 in your calculation) a f(x; α, β) 3β Xa-1 * e for x > 0; a > 0; B > * elsewhere
The mean and the variance of a binomial distribution with parametersn and p are E(X) -6 and V(X) = 3. Then P(X< 5) = %3D None of these 0.073 0.3872 O 0.1938
A normal distribution has μ = 30 and σ = 5. (a) Find the z score corresponding to x = 25. (Enter an exact number.) (b) Find the z score corresponding to x = 44. (Enter a number.) (c) Find the raw score corresponding to z = −3. (Enter an exact number.) (d) Find the raw score corresponding to z = 1.5. (Enter a number.)
You take a simple random sample of size 25 from a very large population in which the true proportioni p=0.1. Which statement below best describes what you know about the sampling distribution of p? (0.1)(0.9) (a) H,-0.1; o,- the distribution is skewed right. 25 (0.1)(0.9). 25 (b) H,=0.1; o,=. ; the distribution is skewed left. (0.1)(0.9). (c) ,=0.1; o,= the distribution is approximately Normal. %3D 25 (0.1)(0.9) (d) , the distribution is not approximately Normal. 25 =0.1; we cannot use the formula o, (0.1)(0.9) ; the distribution is approximately Normal. 25 (e) =0.1; we cannot use the formula o,
Reaction time is the amount of time it takes to respond to a stimulus, and for automobile drivers, it is an important factor in staying safe while on the road by avoiding rear-end collisions. Reaction times vary from driver to driver and tend to be longer than one might think. A recent study determined that the time for an in-traffic driver to react to a brake signal from standard brake lights can be modeled with a normal distribution having mean value 1.24 seconds and standard deviation of 0.45 seconds. If we let X denote reaction time for automobile drivers, use the appropriate Normal Distribution to determine each of the following. 1. What is the probability that a driver has a reaction time less than 0.6 seconds? 2. Approximately what proportion of drivers have a reaction time more than 2.5 seconds? 3. Within what limits, centered about the mean, would you expect driver reaction times to lie with 95% probability? What are the z-scores for these limits? 4. What is the reaction time…
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roblem 1 If the population parameters are μ = 7 and σ = 1: a) Compute the z score for the lowest (x-4) and highest grade (x=10). (15 pts) -3 b) Compute the proportion of the normal distribution corresponds to z-score values greater than the highest grade. (10 pts) 7 = 7 0 σ = I X = 10 3 3.00
Q3. Using Data set 2 about the process times taken for the last xxxxx parts (from data part n1 to part n2). - n1= 6. , n2= 76 - Draw a histogram of your data and comment on if it looks like to be close to Normal distribution - Assume it follows normal distribution, calculate its parameters and draw Quantile-Quantile plot and comment about the plot. - Draw scatter diagram (XY plot in excel) between two successive data (X axis is Xi is, Y axis is Xi+1) and comment about the dependency of successive data points. - Calculate the correlation between two successive data (Xi is one column, Xi+1 is the other column of data) and comment about the dependency of successive data points. (You can use the correlation function of excel, or formulae given our classes.) - Apply Chi-square test to check the goodness-of-fit using the significance level = 0.05. What is the p-value of your test? (You will need to use Norm.inv function of excel…
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