Exx.1 The probability density function of a one-parameter Weibulldistribution is given by2axe-ax, x >0f(x) =(0,Using a sample of size n, obtain a method of momentestimate for aotherwisea.b. Assuming that the data below are from a one-parameterWeibull population,1.87 1.60 2.36 1.12 0.151.83 0.64 1.53 0.73 2.26Obtain a method of moment estimate for a

A Weibull distribution was named after a Swedish mathematician Walodi Weibull. It is a…

Answered: Exx. 1 The probability density function…

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. b. Let X have a gamma distribution with a=2 and 3-2. What is P(X>2)? Let X have a log-normal distribution with u-3.5 and o=1.2. Find P(50
Suppose X is a random variable defined as final cost of project estimated cost of project which has a PDF as follows: [0 xa a. Determine the value of a. b. What is the probability that the final cost of a project will exceed its estimated cost by 25%? c. Determine the mean value and standard deviation of X.
1.4 The pH of milk samples from Dairy Belle is a random variable Y with probability density function given by ((1/9)(4 – y)?,5
6.106 If Y is a continuous random variable with distribution function F(y), find the probability density function of U = F(Y).
1. Develop a random variate (composition method) generator for the random variable X with the probability density function where I represents the indicator function. 5 f(x)=e*I(x 0) 4 a. Implement this generator to generate 500 random variates. b. Compute the sample mean and sample variance of these 500 variates and compare with the theoretical values. c. Plot the histogram of these 500 variates and compare the histogram with the graph of f(x).
2.70 Let X and Y be random variables with joint density function (4xy, 0< x,y< 1, f(x,y)= {0, elsewhere. Find the expected value of Z = √X² + y².
DHL usually gives its customer a 60-minute window in which it expects home deliveries to be delivered. An independent consultant estimates that the final delivery time within the window is a delivery that follows the following condensation function:a. Draw the density function of the event. b. What is the expected value of the transaction? c. What is the variance of the event?
Question 2. A continuous random variable, X has the following probability density function: S(x) = cx² 0sxs10 = 0 otherwise a) Find the value of c. b) Find the mean, median, mode, standard deviation and coefficient of variation. c) Find the probability that X is greater than 3.0 given that X is between 2.0 and 5.0.
For the probability density function f defined on the random variable x, find (a) the mean of x, (b) the standard deviation of x, and (c) the probability that the random variable x is within one standard deviation of the mean. 1 f(x) = x, [5,9] 28 a) Find the mean. %3D (Round to three decimal places as needed.) b) Find the standard deviation. (Round to three decimal places as needed.) c) Find the probability that the random variable x is within one standard deviation of the mean. The probability is. (Round to three decimal places as needed.)
Question 37 and 38.
A scout on a camping trip is requested to find some dry sticks of length at most one metre to use as firewood. A model for the distribution of the lengths, X, in metres, of sticks that she brings back to the probability density function camp has f (x) =V, 0 < x < 1. %3D According to the model, what is the standard deviation of the lengths of the sticks that the scout brings back?

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