10. DETAILS PREVIOUS ANSWERS WACKERLYSTAT7 5.3.033. MY NOTES ASK YOUR TEACHER Suppose that Y, is the total time between a custormer's arrival in the store and departure from the service window, Y, is the time spent in line before reaching the window, and the joint density of these variables is Ky, ,) - e1, Osy2 s Y < 0, lo, elsewhere. (a) Find the marginal density function for Y, f,(y) - where y, 2 Find the marginal density function for Y, f,(y,) - where y, 2 (b) what is the conditional density function of Y, given that Y, = y,? Be sure to specify the values of y, for which this conditional density is defined. where (c) What is the conditional density function of Y, given that Y, = y,? Be sure to specify the values of y, for which this conditional density is defined. , where (d) Ts the condiliornal densily lunclion (y,ly) Ihal you oblained in parl (b) the sarme as the margirial densily funtlion ,(r) found in parl (a)? e The conditional and marginal density functions are not the same. O The conditional and marginal density functions are the same.
10. DETAILS PREVIOUS ANSWERS WACKERLYSTAT7 5.3.033. MY NOTES ASK YOUR TEACHER Suppose that Y, is the total time between a custormer's arrival in the store and departure from the service window, Y, is the time spent in line before reaching the window, and the joint density of these variables is Ky, ,) - e1, Osy2 s Y < 0, lo, elsewhere. (a) Find the marginal density function for Y, f,(y) - where y, 2 Find the marginal density function for Y, f,(y,) - where y, 2 (b) what is the conditional density function of Y, given that Y, = y,? Be sure to specify the values of y, for which this conditional density is defined. where (c) What is the conditional density function of Y, given that Y, = y,? Be sure to specify the values of y, for which this conditional density is defined. , where (d) Ts the condiliornal densily lunclion (y,ly) Ihal you oblained in parl (b) the sarme as the margirial densily funtlion ,(r) found in parl (a)? e The conditional and marginal density functions are not the same. O The conditional and marginal density functions are the same.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
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5
Transcribed Image Text:0, slsawhere.
10.
DETAILS
PREVIOUS ANSWERS
WACKERLYSTAT7 5.3.033.
MY NOTES
ASK YOUR TEACHER
Suppose that Y, is the total time between a custormer's arrival in the store and departure from the service window, Y, is the time spent in line before reaching the window, and the joint density of these variables
is
lyy,) = eY1, Os y2 s V1 < o,
(0, elsewhere.
(a) Find the marginal density function for Y,
f,(y) -
. where y, 2
Find the marginal density function for Y,.
f,(v,) -
where y, 2
(b) what is the conditional density function of Y, given that Y, = y,? Be sure to specify the values of y, for which this conditional density Is defined.
where
(c) What is the conditional density function of Y, given that Y, = y,? Be sure to specify the values of y, for which this conditional density is defined.
where
(d) Is the condiliorial densily lunclion (y,ly) thal you oblainexd in parl (b) the sarre as the margirial densily luntlion /,(r,) found in parl (a)?
The condilional and marginal density functions are nat the same.
O The conditional and marginal density functions are the same.
9.
DETAILS
WACKERLYSTAT7 5.3.029.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Suppose that Y, and Y, are unifomly distributed over the triangle shaded in the accompanying figure.
(0, 1)
(-1, 0)
(1, 0)
y,
(a) Find the marginal density function for Y,.
f,v,) =
,where
Find the marginal derisity function for Y
2) =
where
(b) Find P
(Enter your probability as a fraction.)
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