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?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

solve first question please 

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
Transcribed Image Text: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
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman