Mathematics
2017 · Paper 1
Take it one question at a time. Try an answer, then check your understanding.
Complete GATE MA 2017 Paper 1 overview, original pages and practice · Timed previous-paper practice
Questions 49–51 of 65. Imported answers require review unless explicitly marked reviewed.
Question 49
Open questionMANAT2 marksNeeds review
Let
and
be independent and identically distributed exponential random variables with probability density function
Then
equals (rounded to 2 decimal places) ________.Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 50
Open questionMANAT2 marksNeeds review
Let
and
be any two events with
,
and
. Then
equals (rounded to 2 decimal places) ________.Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 51
Open questionMAMCQ2 marksNeeds review
Let
be a random sample from a binomial distribution with parameters
and
,
, and let
. Then a uniformly minimum variance unbiased estimator for
isYour answerChoose one option.
Log in to check the answer
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