Find a constant C such that p is a probability density function on the given interval and compute the probability indicated. Ce-x 1 + e-2x p(x) = (For a constant C, express numbers in exact form. Use symbolic notation and fractions where needed. For a probability, use decimal notation. Give your answer to four decimal places.) C = on (-∞0, ∞0) P(X ≤ 6) ≈
Find a constant C such that p is a probability density function on the given interval and compute the probability indicated. Ce-x 1 + e-2x p(x) = (For a constant C, express numbers in exact form. Use symbolic notation and fractions where needed. For a probability, use decimal notation. Give your answer to four decimal places.) C = on (-∞0, ∞0) P(X ≤ 6) ≈
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![Find a constant C such that p is a probability density function on the given interval and compute the probability indicated.
p(x)
=
C =
Ce-x
1 + e-2x
(For a constant C, express numbers in exact form. Use symbolic notation and fractions where needed. For a probability, use
decimal notation. Give your answer to four decimal places.)
P(X ≤6) ≈
on (-∞, ∞)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1cf29de1-e3f4-4dce-af3b-387ce3b73ca3%2F5af6b634-d502-48af-92ce-523cb16c3a85%2F7fbuhaq_processed.png&w=3840&q=75)
Transcribed Image Text:Find a constant C such that p is a probability density function on the given interval and compute the probability indicated.
p(x)
=
C =
Ce-x
1 + e-2x
(For a constant C, express numbers in exact form. Use symbolic notation and fractions where needed. For a probability, use
decimal notation. Give your answer to four decimal places.)
P(X ≤6) ≈
on (-∞, ∞)
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