2. 3. If an aircraft is present in a certain area, a radar detects it and generates an alarm signal with probability 0,9. If an aircraft is not present, the radar generates a (false) alarm, with probability 0.05. We assume that an aircraft is present with probability 0.1. What is the probability that the radar does not generate an alarm signal? B = {Alarn} ļ A = { Arcraft) P(BITB) = 0.9 P (B₁A)=0.05 P(BIA) = 0.1 P(BIA) = 0.95 P(A) = 0.1 P (BNA) = P(BIA) P(A) = 0.1*0.1 0.01 fx (x) = The channel power gain of a wireless communication channel can be modeled by an exponential RV X, with average (mean) is equal to 3. Find Pr{X > 2|X > 1}. l^ = e + -K x>0 ке ECO+ + + ² ([X²+] E[x] = = = L -da P(x > 2/^ > 1) = P(x > 2) = F₁*² = 1-c² = 1-e²²

2. 3. If an aircraft is present in a certain area, a radar detects it and generates an alarm signal with probability 0,9. If an aircraft is not present, the radar generates a (false) alarm, with probability 0.05. We assume that an aircraft is present with probability 0.1. What is the probability that the radar does not generate an alarm signal? B = {Alarn} ļ A = { Arcraft) P(BITB) = 0.9 P (B₁A)=0.05 P(BIA) = 0.1 P(BIA) = 0.95 P(A) = 0.1 P (BNA) = P(BIA) P(A) = 0.10.1 0.01 fx (x) = The channel power gain of a wireless communication channel can be modeled by an exponential RV X, with average (mean) is equal to 3. Find Pr{X > 2|X > 1}. l^ = e + -K x>0 ке ECO+ + + ² ([X²+] E[x] = = = L -da P(x > 2/^ > 1) = P(x > 2) = F₁² = 1-c² = 1-e²²

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 32E

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