7. Radar returns (power) are modeled in terms of the following (gamma) density, x f(x) == e ¹U (x) (a) What is the value of B so that f(x) is a valid pdf? (b) What is the probability that the received power exceeds 2 units. (c) What is the probability that the received power is less tha 6 units.
7. Radar returns (power) are modeled in terms of the following (gamma) density, x f(x) == e ¹U (x) (a) What is the value of B so that f(x) is a valid pdf? (b) What is the probability that the received power exceeds 2 units. (c) What is the probability that the received power is less tha 6 units.
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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Transcribed Image Text:7. Radar returns (power) are modeled in terms of the following (gamma) density,
x
X
f(x) = ² ² e ²³ U (x)
B
(a) What is the value of B so that f(x) is a valid pdf?
(b) What is the probability that the received power exceeds 2 units.
(c) What is the probability that the received power is less tha 6 units.
(d) What is the probability that the received power lies between 2 and 6 units
(e) What is the probability that the received power is exactly 5 units.
(f) If past observations have shown that the received power is always more than 3 units, what is
the probability that the the received power will be less than 6 units.
(g) What is theprobability that X²>4?
(h) What is the probability that sqrt(X)>2?
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