1
GATE CSE 2014 Set 1
Numerical
+2
-0
Four fair six-sided dice are rolled. The probability that the sum of the results being 22 is X/1296. The value of X is__________
2
GATE CSE 2012
MCQ (Single Correct Answer)
+2
-0.6
Suppose a fair six-sided die is rolled once. If the value on the die is 1, 2 or 3 the die is rolled a second time. What is the probability that the sum total of values that turn up is at least 6?
A
10/21
B
5/12
C
2/3
D
1/6
3
GATE CSE 2011
MCQ (Single Correct Answer)
+2
-0.6
A deck of 5 cards (each carrying a distinct number from 1 to 5) is shuffled thoroughly. Two cards are then removed one at a time from the deck. What is probability that the two cards are selected with the number on the first card is one higher than the number on the second card.
A
$${{1 \over 5}}$$
B
$${{4 \over 25}}$$
C
$${{1 \over 4}}$$
D
$${{2 \over 5}}$$
4
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
$${\sigma _y} = a{\sigma _x} + b$$
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