Complete GATE IN 2018 Paper 1 overview, original pages and practice · Timed previous-paper practice

Questions 13–15 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 5 of 22

Question 3

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INMCQ1 markNeeds review

and

are two independent random variables with variances 1 and 2, respectively. Let

. The variance of Z is
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Question 4

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INNAT1 markNeeds review
Consider two functions

and

, where

is real. The smallest value of

for which

is _____.

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Question 5

Open question
INMCQ1 markNeeds review
Consider a sequence of tossing of a fair coin where the outcomes of tosses are independent. The probability of getting the head for the third time in the fifth toss is
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