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

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 24CR
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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 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
10 10
0 8.4 2.0
0 2.0 1.7
(illustrated in Figure 6.2), 0.4N([ ].[ 1) +0.6N([ ].[₂ 1). a. Compute the marginal
2
0 1
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.
6.2 Consider a mixture of two Gaussian distributions (illustrated in Figure 6.2),
8.4
0.4.N
N([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.
Σ
Q
2
:
Transcribed Image Text: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 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 10 10 0 8.4 2.0 0 2.0 1.7 (illustrated in Figure 6.2), 0.4N([ ].[ 1) +0.6N([ ].[₂ 1). a. Compute the marginal 2 0 1 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. 6.2 Consider a mixture of two Gaussian distributions (illustrated in Figure 6.2), 8.4 0.4.N N([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. Σ Q 2 :
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