7. Radar returns (power) are modeled in terms of the following (gamma) density,xXf(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 isthe 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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Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.CR: Chapter 13 Review

Problem 29CR

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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.