Consider two continuous random variables X and Y with marginal distributions g(x) and My)respectively and the joint density function given by: I > 0, y > 0 elsewhere. 2ee-2y f(xy) = Then: O f(x.y)=g(x)h(y) None of these O f(ylx)=g(x) O x and Y are statistically dependent

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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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0.5430
0.1314
0.0223
0.0232
Question *
Consider two continuous random variables X and Y with marginal distributions g(x) and
h(y)respectively and the joint density function given by:
( 2e-²e-2y
x > 0, y > 0
f(xy) =
elsewhere.
Then:
f(x.y)=g(x)h(y)
None of these
f(y/x)=g(x)
X and Y are statistically dependent
Question *
Measurements for the length and width of a rectangular plastic covers for CDs are
rounded to the nearest mm (so they are discrete). Let X denote the length and Y denote
the width. The possible values of X are 12°
nd 131 mm. The possible values of Y
the following table:
are 15 and 16 mm. The joint distribution
gth
| 129 130 131
Y=width 15 0.12 0.42 0.06
Transcribed Image Text:0.5430 0.1314 0.0223 0.0232 Question * Consider two continuous random variables X and Y with marginal distributions g(x) and h(y)respectively and the joint density function given by: ( 2e-²e-2y x > 0, y > 0 f(xy) = elsewhere. Then: f(x.y)=g(x)h(y) None of these f(y/x)=g(x) X and Y are statistically dependent Question * Measurements for the length and width of a rectangular plastic covers for CDs are rounded to the nearest mm (so they are discrete). Let X denote the length and Y denote the width. The possible values of X are 12° nd 131 mm. The possible values of Y the following table: are 15 and 16 mm. The joint distribution gth | 129 130 131 Y=width 15 0.12 0.42 0.06
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