ELL727 weekly quiz-8
Authored by Vivek Venkataraman
Engineering
University
Used 1+ times
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5 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A noisy binary symmetric channel has 20% probability of causing a bit-flip during transmission. A random binary message containing 40% '0's is sent through this channel. If a bit is received as '1', the probability that it was originally sent as '0' is
1/5
1/6
1/7
1/8
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which of the following is an invalid CDF (Cumulative Density Function) FX(x)? The sample space range is x ∊ [0, π/2]
sin x
sin1/2x
sin2x
sin 2x
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Consider the probability density function (PDF) pX(x) = ke-2x, where the sample space range is x ∊ [0, ∞). The value of k is
2
1
1/2
2/e
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The mean time-to-failure for a type of electronic component is found to be 5 years, with a standard deviation of 2 years. Modeling the time-to-failure as a Gaussian random variable, the chance of a newly deployed component working for at least the next 10 years is
Q (2) ~ 2.3%
Q (0.5) ~ 31%
Q (2.5) ~ 0.6%
Q (1.6) ~ 5.5%
5.
FILL IN THE BLANKS QUESTION
1 min • 1 pt
The mean value of a random variable X with PDF pX(x) = e-|x|/2 is
(a)
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