Electrical Engineering
GATE EE topic:probability-and-statistics PYQs
Build your understanding with focused practice from past exam papers.
Questions 11–16 of 16. Imported answers require independent review unless marked reviewed.
Question 27
Open questionEEMCQ2 marksNeeds review
Suppose the probability that a coin toss shows “head” is
, where
. The coin is tossed repeatedly until the first “head” appears. The expected number of tosses required isYour answerChoose one option.
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Open questionEEMCQ1 markNeeds review
The mean-square of a zero-mean random process is
, where
is Boltzman’s constant,
is the absolute temperature, and
is a capacitance. The standard deviation of the random process isYour answerChoose one option.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 40
Open questionEENAT2 marksNeeds review
The probability of a resistor being defective is 0.02. There are 50 such resistors in a circuit. The probability of two or more defective resistors in the circuit (round off to two decimal places) is __________.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 1
Open questionEE-2MCQ1 markNeeds review
An urn contains 5 red balls and 5 black balls. In the first draw, one ball is picked at random and discarded without noticing its colour. The probability to get a red ball in the second draw is
Your answerChoose one option.
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Open questionEE-2NAT1 markNeeds review
Assume that in a traffic junction, the cycle of the traffic signal lights is 2 minutes of green (vehicle does not stop) and 3 minutes of red (vehicle stops). Consider that the arrival time of vehicles at the junction is uniformly distributed over 5 minute cycle. The expected waiting time (in minutes) for the vehicle at the junction is _________.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 40
Open questionEE-2MCQ2 marksNeeds review
A person decides to toss a fair coin repeatedly until he gets a head. He will make at most 3 tosses. Let the random variable
denote the number of heads. The value of
, where
denotes the variance, equalsYour answerChoose one option.
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