Problem 6 Let X - Hyp(N, b, n), i.e. OCD () P{X = k} = if k € (0,...,n) else. Now let N, b→∞o in such a way that b/N-pe (0,1). Show that then P{X = k} – (*)p² (1-py-*. Explain the implications of this result for the concepts of sampling with and without replacement.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.4: Hyperbolas
Problem 5ECP: Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.
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Problem 6
Let X - Hyp(N,b,n), i.e.
C
P{X = k} =
if k € (0,...,n)
else.
Now let N, b→∞o in such a way that b/N-pe (0,1). Show that then
P{X = k} - ("^ p² (1-py"-k.
Explain the implications of this result for the concepts of sampling with and without replacement.
Transcribed Image Text:Problem 6 Let X - Hyp(N,b,n), i.e. C P{X = k} = if k € (0,...,n) else. Now let N, b→∞o in such a way that b/N-pe (0,1). Show that then P{X = k} - ("^ p² (1-py"-k. Explain the implications of this result for the concepts of sampling with and without replacement.
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