1
GATE CSE 2008
MCQ (Single Correct Answer)
+2
-0.6
Let X be a random variable following normal distribution with mean + 1 and variance 4. Let Y be another normal variable with mean - 1 and variance unknown. If $$P\,(X\, \le \, - 1) = \,P(Y\,\, \ge \,2)$$, the standard deviation of Y is
2
GATE CSE 2008
MCQ (Single Correct Answer)
+2
-0.6
If $$P$$, $$Q$$, $$R$$ are Boolean variables, then $$(P + \bar{Q}) (P.\bar{Q} + P.R) (\bar{P}.\bar{R} + \bar{Q})$$ simplifies to
3
GATE CSE 2008
MCQ (Single Correct Answer)
+2
-0.6
Let fsa and $$pda$$ be two predicates such that fsa$$(x)$$ means $$x$$ is a finite state automation, and pda$$(y)$$ means that $$y$$ is a pushdown automation. Let $$equivalent$$ be another predicate such that $$equivalent$$$$(a,b)$$ means $$a$$ and $$b$$ are equivalent. Which of the following first order logic statements represents the following:
Each finite state automation has an equivalent pushdown automation.
4
GATE CSE 2008
MCQ (Single Correct Answer)
+2
-0.6
Which of the following first order formulae is logically valid? Here $$\alpha \left( x \right)$$ is a first order formulae with $$x$$ as a free variable, and $$\beta $$ is a first order formula with no free variable.
Paper analysis
Total Questions
Algorithms
15
Compiler Design
4
Computer Networks
7
Computer Organization
9
Data Structures
9
Database Management System
12
Digital Logic
3
Discrete Mathematics
30
Operating Systems
7
Programming Languages
3
Theory of Computation
9
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