1
GATE CSE 2011
MCQ (Single Correct Answer)
+2
-0.6
Consider a finite sequence of random values $$X = \left\{ {{x_1},{x_2},{x_3}, - - - - - {x_n}} \right\}..$$ Let $${\mu _x}$$ be the mean and $${\sigma _x}$$ be the standard deviation of $$X.$$ Let another finite sequence $$Y$$ of equal length be derived from this $${y_i} = a.{x_i} + b,$$ where $$a$$ and $$b$$ are positive constants. Let $${\mu _y}$$ be the mean and $${\sigma _y}$$ be the standard deviation of this sequence. Which one of the following statements is incorrect?
A
Index position of mode of $$X$$ in $$X$$ is the same as the index position of mode of $$Y$$ in $$Y$$.
B
Index position of median of $$X$$ in $$X$$ is the same as the index position of median of $$Y$$ in $$Y.$$
C
$${\mu _y} = a{\mu _x} + b$$
D
$${\sigma _y} = a{\sigma _x} + b$$
2
GATE CSE 2010
MCQ (Single Correct Answer)
+2
-0.6
What is the probability that divisor of $${10^{99}}$$ is a multiple of $${10^{96}}$$ ?
A
1/625
B
4/625
C
12/625
D
16/625
3
GATE CSE 2010
MCQ (Single Correct Answer)
+2
-0.6
Consider a company that assembles computers. The probability of a faulty assembly of any computer is P. The company therefore subjects each computer to a testing process. This gives the correct result for any computer with a probability of q. What is the probability of a computer being declared faulty?
A
pq + (1 - p) (1 - q)
B
1 - q) p
C
(1 - p) q
D
pq
4
GATE CSE 2009
MCQ (Single Correct Answer)
+2
-0.6
An unbalanced dice (with 6 faces, numbered from 1 to 6) is thrown. The probability that the face value is odd is 90% of the probability that the face valueis even. The probability of getting any even bnumbered face is the same.

If the probability that the face is even given that it is greater than 3 is 0.75, which one of the following options is closest to the probability that the face value exceeds 3?

A
0.453
B
0.468
C
0.485
D
0.492
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