Computer Science Engineering (CSE) Exam  >  Computer Science Engineering (CSE) Questions  >  The power reflected from an aircraft of compl... Start Learning for Free
The power reflected from an aircraft of complicated shape that is received by a
radar can be described by a random variable X .The pdf of X is
fx(x)={(1/W)e^(-x/W) for X>0 and 0 for X< />
Where W is the average amount of power received . Find the probability that the
received power is larger than the power received on the average.?
Most Upvoted Answer
The power reflected from an aircraft of complicated shape that is rece...
Solution:

Given,

The pdf of X is fx(x)={(1/W)e^(-x/W) for X>0 and 0 for X

where W is the average amount of power received.

To find:

The probability that the received power is larger than the power received on the average.

Solution Steps:

1. Find the average amount of power received (W).

The average amount of power received (W) can be found by integrating the pdf of X over all positive values of X.

∫(0 to ∞) fx(x)dx = ∫(0 to ∞) (1/W)e^(-x/W) dx

= [-e^(-x/W)](0 to ∞)

= 1

Therefore, W = 1.

2. Find the probability that the received power is larger than the power received on the average.

The probability that the received power is larger than the power received on the average can be found by integrating the pdf of X over all values of X greater than W.

P(X > W) = ∫(W to ∞) fx(x)dx

= ∫(1 to ∞) (1/W)e^(-x/W) dx

= [-e^(-x/W)](1 to ∞)

= e^(-1)

= 0.3679

Therefore, the probability that the received power is larger than the power received on the average is 0.3679.

Conclusion:

The probability that the received power is larger than the power received on the average is 0.3679.
Explore Courses for Computer Science Engineering (CSE) exam

Top Courses for Computer Science Engineering (CSE)

The power reflected from an aircraft of complicated shape that is received by a radar can be described by a random variable X .The pdf of X is fx(x)={(1/W)e^(-x/W) for X>0 and 0 for XWhere W is the average amount of power received . Find the probability that the received power is larger than the power received on the average.?
Question Description
The power reflected from an aircraft of complicated shape that is received by a radar can be described by a random variable X .The pdf of X is fx(x)={(1/W)e^(-x/W) for X>0 and 0 for XWhere W is the average amount of power received . Find the probability that the received power is larger than the power received on the average.? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about The power reflected from an aircraft of complicated shape that is received by a radar can be described by a random variable X .The pdf of X is fx(x)={(1/W)e^(-x/W) for X>0 and 0 for XWhere W is the average amount of power received . Find the probability that the received power is larger than the power received on the average.? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The power reflected from an aircraft of complicated shape that is received by a radar can be described by a random variable X .The pdf of X is fx(x)={(1/W)e^(-x/W) for X>0 and 0 for XWhere W is the average amount of power received . Find the probability that the received power is larger than the power received on the average.?.
Solutions for The power reflected from an aircraft of complicated shape that is received by a radar can be described by a random variable X .The pdf of X is fx(x)={(1/W)e^(-x/W) for X>0 and 0 for XWhere W is the average amount of power received . Find the probability that the received power is larger than the power received on the average.? in English & in Hindi are available as part of our courses for Computer Science Engineering (CSE). Download more important topics, notes, lectures and mock test series for Computer Science Engineering (CSE) Exam by signing up for free.
Here you can find the meaning of The power reflected from an aircraft of complicated shape that is received by a radar can be described by a random variable X .The pdf of X is fx(x)={(1/W)e^(-x/W) for X>0 and 0 for XWhere W is the average amount of power received . Find the probability that the received power is larger than the power received on the average.? defined & explained in the simplest way possible. Besides giving the explanation of The power reflected from an aircraft of complicated shape that is received by a radar can be described by a random variable X .The pdf of X is fx(x)={(1/W)e^(-x/W) for X>0 and 0 for XWhere W is the average amount of power received . Find the probability that the received power is larger than the power received on the average.?, a detailed solution for The power reflected from an aircraft of complicated shape that is received by a radar can be described by a random variable X .The pdf of X is fx(x)={(1/W)e^(-x/W) for X>0 and 0 for XWhere W is the average amount of power received . Find the probability that the received power is larger than the power received on the average.? has been provided alongside types of The power reflected from an aircraft of complicated shape that is received by a radar can be described by a random variable X .The pdf of X is fx(x)={(1/W)e^(-x/W) for X>0 and 0 for XWhere W is the average amount of power received . Find the probability that the received power is larger than the power received on the average.? theory, EduRev gives you an ample number of questions to practice The power reflected from an aircraft of complicated shape that is received by a radar can be described by a random variable X .The pdf of X is fx(x)={(1/W)e^(-x/W) for X>0 and 0 for XWhere W is the average amount of power received . Find the probability that the received power is larger than the power received on the average.? tests, examples and also practice Computer Science Engineering (CSE) tests.
Explore Courses for Computer Science Engineering (CSE) exam

Top Courses for Computer Science Engineering (CSE)

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev