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?
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?
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd46c33da-6ba5-4721-9496-517e3819d372%2F12fec24a-7f1a-46c3-b21c-6f1f102d35bd%2F2e4vcue_processed.jpeg&w=3840&q=75)
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
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