Two electric generators are connected in series to supply electricity for a company during network systemfailures. When the electric network fails, generator 1 turns on and supplies electricity until its fuel finishes. Ifthe network electric supply is still off, generator 2 turns on and supplies electricity. Suppose that the time eachgenerator supplies electricity is normally distributed and independent of the other generator. For generator 1 itsX₁, Normally distributed with mean 7.00 hours and variance 1.5², [N (7.00, 1.5²)] and for generator 2 its X2,Normally distributed with mean 5.00 hours and variance 1.0², [N(5.00, 1.0²)]. Determine the probability thatboth generators will provide at least 10 hours of electric supply during a network failure. (Note: You may usethe central limit theorem with the fact that T=X₁+X₂ is Normal with mean µ₁+µ2 and variance 0²₁+0²₂).Probability (T210)=

The 2 electric generators are connected in series to supply electricity for the company during…

Answered: Two electric generators are connected…

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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Suppose that arrival times at a certain emergency care center are following a Poisson process with a mean rate of λ = 0.2 arrivals per minute. Let T be the time until the third arrival. Find the mean and the variance of T, and find P(T ≤ 10) to four decimal places. Part 1 out of 3The mean of T is _______minutes.
Experiment 3: Fifteen female CSCC students and 10 male CSCC students are randomly selected to determine if the mean time studying for females is significantly more than the mean study time for males. It can be assumed that all study times are normally distributed. Are these samples independent or dependent? Find the null and alternative hypothesis. H0: Ha:
Suppose that average male weight in the US is 175 pounds with a standarddeviation of 25 pounds. Suppose you randomly select 1,000 male Americans and ask their weight, and average the 1,000 numbers to compute a sample mean Xn. A. What is the variance of the sample mean Xn? B. Use your answer to part (A), and Chebyshev’s inequality, to come up with a quantitative upper bound for the probability that sample mean Xn is more than a certain distance of 175
Show that the mean of a random sample of size n from an exponential population is a minimum variance unbiased estimator of the parameter 0.
How would I solve this assuming the population variances are equal?
A researcher investigates whether cold medication effects mental alertness. It is known that scores on a standardized test containing a variety of problem-solving tasks are normally distributed with  = 64 and  = 8. A random sample of n = 16 teenage and a sample of n = 25 adults are given the drug and then tested. On average, the teenagers scored and average of ? = 58 and the adults scored and average of M = 65.5.a. Are the data sufficient to conclude that the medication significantly reduces mental alertness in teenagers? Test with  = .01.b. Are the data sufficient to conclude that the medication significantly increases mental alertness in adults? Test with  = .01.
34) If a population exhibits a skew of -5.00 and an excess kurtosis of 5.00 which of the following is true? The population mean exceeds the median. The population variance exceeds the standard deviation. The population standard deviation exceeds the variance. The population median equals the mean. The population median exceeds the mean.
Let G and H be two independent unbiased estimators of 0. Assume that the variance of G is two times the variance of H. Find the constants a andb so that aG + bH is an unbiased estimator with the smallest possible variance for such a linear combination.
Consider an MA(2) model: STEPS -Write the equation of the M(2) model-Determine the model based on the delay operator.- Find the expected value of the model- Find the variance of the model.- Find the covariances associated with 1,2, and s steps.- Find the associated correlation indices of 1,2, and s steps.- Assume that information is available up to time $h$ and the function that contains the accumulated information f(h, h-1,……), determine the forecasts and the error associated with 1,2, and s steps.

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