6.2 Consider a mixture of two Gaussian distributions (illustrated in Figure 6.2), 0.4 N([102], [1001]) + 0.6 N ([00], [8.4 2.0 2.0 1.7]). a. Compute the marginal distributions foreach dimension. b. Compute the mean, mode and median for each marginal distribution. c. Compute themean and mode for the two-dimensional distribution.6.2 Consider a mixture of two Gaussian distributions10 100 8.4 2.00 2.0 1.7(illustrated in Figure 6.2), 0.4N([ ].[ 1) +0.6N([ ].[₂ 1). a. Compute the marginal20 1distributions for each dimension. b. Compute the mean, mode and median for each marginal distribution.c. Compute the mean and mode for the two-dimensional distribution.6.2 Consider a mixture of two Gaussian distributions (illustrated in Figure 6.2),8.40.4.NN([2] [6]) +0.6N ([8] · [2.6 2.7]).a. Compute the marginal distributions for each dimension.b. Compute the mean, mode and median for each marginal distribution.c. Compute the mean and mode for the two-dimensional distribution.ΣQ2:

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Answered: sider a mixture of two Gaussian…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Problem 1P

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For each substance, estimate the standard deviation o by assuming uniform distribution and normal distribution shown in Table 8.11 in Section 8.8. (Round your answers to 4 decimal places.) Uniform Distribution Normal Distribution Chromium Barium Fluoride
6.2-2
6.9 To enter the cumulative normal distribution table Þ(Z), calculate Z and Z at the spec limits. upper lower Þ(2) = 0.9772 and Þ(-2) = 0.0228, the area to the right of the USL plus to the left of the LSL is 0.0456.
QI/ Experimental data for the heat capacity in cal/(g.mol)(°C) as a function of temperature is given as follow: Temperature (C) 3 7. Heat capacity 19.65 26.74 32.80 37.74 41.75 45.06 47.83 Fit the data to an empirical heat-capacity equation of the form [C, = a + bT + b;T), and compute the standard deviation.
Group I Given N1 = 20 E(X- 8) = 10 E(X-8)? = 152 50. Group II N2 = 30 (Y- 10) = - 15 E(Y-10)2 = 300 %3D %3D %3D Find arithmetic mean and standard deviation of each group and the combined arithmeti nean, standard deviation and the overall coefficient of variation.
let Y=5X+10 and X be normally distributed with a mean 10 and varience 25. find P(Y<54).
Can you help with part b without using Chebyshev's theorem
Prob.5 Find the mean, the median, and the mode of the random variable X with the following probability density functions: (a) Gaussian distribution with parameters μ and o². (b) Exponential distribution with parameter 1. (c) Beta distribution with a = 3 and b = 4. (d) Uniform distribution in the interval (a, b).
If X is a normal variate with mean 18 and variance 625, find P(-31 18 ). 1 1.96 [ Given f- dt = 0.9750021 }
Let x = red blood cell (RBC) count in millions per cubic millimeter of whole blood. For healthy females, x has an approximately normal distribution with mean ? = 3.6 and standard deviation ? = 0.6. (a) Convert the x interval, 4.5 < x, to a z interval. (Round your answer to two decimal places.) ____< z(b) Convert the x interval, x < 4.2, to a z interval. (Round your answer to two decimal places.)z < ____(c) Convert the x interval, 4.0 < x < 5.5, to a z interval. (Round your answers to two decimal places.) _____< z < ______(d) Convert the z interval, z < −1.44, to an x interval. (Round your answer to one decimal place.)x < ____(e) Convert the z interval, 1.28 < z, to an x interval. (Round your answer to one decimal place.) ____< x(f) Convert the z interval, −2.25 < z < −1.00, to an x interval. (Round your answers to one decimal place.)_____ < x < ____(g) If a female had an RBC count of 5.9 or higher, would that be considered unusually…
The regression line for Y vs X is given by Y = 0.82X + 59.1. The standard deviations for X and Y are 1.5 and 2.2 respectively. Suppose now we construct a regression line that uses Y to predict X. The predicted average increase of X when Y is increased by 1 unit is ______________. (Give your answer correct to 2 decimal places.)
he distribution of the number of imperfections per 10 meters of synthetic fabric is given by the following function, If cost of this defect is given by the following equation g(x)-1/100 (x^2+2x+10), what is the ?expected cost 2 3 4. f(x) 0.41 0.37 0.16 0.05 0.01

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sider a mixture of two Gaussian distributions (illustrated in Fi [8.4 0.4.N ([12]. [1]) +0,6N (8), ~([8] ·[2.0 2.9]). 1.7 Compute the marginal distributions for each dimension. Compute the mean, mode and median for each marginal dist