Answer the following questions for the random variables X and Y that have a bivariate normal distribution and whose joint density function is f(x, y) as shown below. The joint density function has not been completely simplified or presented as a piecewise function for this question f(x, y): = e 2 21 580 (2²2-10) ² -1.28 (*2-10) (-3³) + (²] 2.4 2.4 1.3 1.3 6.247√0.5904 -3.8580 a. What is the marginal density function for the random variable X? Leave your answer as a piecewise function. b. The random variable X has a c. The distribution for the random variable X has a mean of distribution. with a
Answer the following questions for the random variables X and Y that have a bivariate normal distribution and whose joint density function is f(x, y) as shown below. The joint density function has not been completely simplified or presented as a piecewise function for this question f(x, y): = e 2 21 580 (2²2-10) ² -1.28 (*2-10) (-3³) + (²] 2.4 2.4 1.3 1.3 6.247√0.5904 -3.8580 a. What is the marginal density function for the random variable X? Leave your answer as a piecewise function. b. The random variable X has a c. The distribution for the random variable X has a mean of distribution. with a
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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![Answer the following questions for the random variables X and Y that have a bivariate
normal distribution and whose joint density function is f(x, y) as shown below. The joint
density function has not been completely simplified or presented as a piecewise function
for this question
f(x, y)
=
-3.8580 (10)-1.20(1)(+0]
e
6.2470.5904
a. What is the marginal density function for the random variable X? Leave your answer
as a piecewise function.
b. The random variable X has a
c. The distribution for the random variable X has a mean of
standard deviation of
variables X and Y is
distribution.
and the covariance for the random
with a](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4406f758-d22f-4af2-b49d-79b2ea4fb731%2F8a5d05f1-bcd1-4de1-8050-706318aadb50%2F5fp8ol4r_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Answer the following questions for the random variables X and Y that have a bivariate
normal distribution and whose joint density function is f(x, y) as shown below. The joint
density function has not been completely simplified or presented as a piecewise function
for this question
f(x, y)
=
-3.8580 (10)-1.20(1)(+0]
e
6.2470.5904
a. What is the marginal density function for the random variable X? Leave your answer
as a piecewise function.
b. The random variable X has a
c. The distribution for the random variable X has a mean of
standard deviation of
variables X and Y is
distribution.
and the covariance for the random
with a
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