Suppose that W is a (a = 3, 3 = })-gamma random variable and N is a µ = -Poisson random variable independentof W. What isE (w*]?unfor u-Poisson random variable N.n!Note: PN (n) = P (N = n)= eHint: pmf for a (r, p)-negative binomial random variable is given byn-n = r,r + 1,...r - 1

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Answered: ippose that W is a (a = 3, 3 = })-gamma…

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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REM (rapid eye movement) sleep is sleep during which most dreams occur. Each night a person has both REM and non-REM sleep. However, it is thought that children have more REM sleep than adults†. Assume that REM sleep time is normally distributed for both children and adults. A random sample of n1 = 11 children (9 years old) showed that they had an average REM sleep time of x1 = 2.5 hours per night. From previous studies, it is known that σ1 = 0.7 hour. Another random sample of n2 = 11 adults showed that they had an average REM sleep time of x2 = 2.00 hours per night. Previous studies show that σ2 = 0.6 hour. Do these data indicate that, on average, children tend to have more REM sleep than adults? Use a 10% level of significance. Solve the problem using both the traditional method and the P-value method. (Test the difference μ1 − μ2. Round the test statistic and critical value to two decimal places. Round the P-value to four decimal places.) test statistic critical value…
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For the peing, the air traffic control system in the United States is run by the federal government. Several groups disagree with this and would like to privatizu in deciding if, indeed, delays in the U.S. are "too common" might be to compare the flight delay information from the U.S. and other nations. . air traffic control system. Among the arguments given for privatization is that flight delays are much too common in the United States. A first step You have in front of you the following chart, which summarizes the information from three samples of flights from the past six weeks. One of the samples is composed of domestic U.S. flights, one is composed of domestic Canadian flights, and one is composed of domestic British flights. The information recorded for each flight is the time (in minutes) that the plane was late to the arrival gate. (If the plane was early, the time recorded was negative.) Sample Sample Sample size Groups mean variance United States 239 16.9 96.8 Canada 205…
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X is a Uniform(8, 20) random variable what is Var(X)=?
REM (rapid eye movement) sleep is sleep during which most dreams occur. Each night a person has both REM and non-REM sleep. However, it is thought that children have more REM sleep than adults†. Assume that REM sleep time is normally distributed for both children and adults. A random sample of n1 = 8 children (9 years old) showed that they had an average REM sleep time of x1 = 2.5 hours per night. From previous studies, it is known that ?1 = 0.9 hour. Another random sample of n2 = 8 adults showed that they had an average REM sleep time of x2 = 1.60 hours per night. Previous studies show that ?2 = 0.6 hour. Do these data indicate that, on average, children tend to have more REM sleep than adults? Use a 1% level of significance. what is the sample test statistic find or estimate p value

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