1
GATE ECE 2014 Set 3
MCQ (Single Correct Answer)
+1
-0.3
An unbiased coin is tossed an infinite number of times. The probability that the fourth head appears at the tenth toss is
A
$$0.067$$
B
$$0.073$$
C
$$0.082$$
D
$$0.091$$
2
GATE ECE 2014 Set 3
Numerical
+2
-0
A fair coin is tossed repeatedly till both head and tail appear at least once. The average number of tosses required is ________.
Your input ____
3
GATE ECE 2014 Set 3
Numerical
+2
-0
Let $${X_1},{X_{2,}}$$ and $${X_{3,}}$$ be independent and identically distributed random variables with the uniform distribution on $$\left[ {0,1} \right].$$ The probability $$P\left\{ {{X_1} + {X_2} \le {X_3}} \right\}$$ is _______.
Your input ____
4
GATE ECE 2014 Set 3
MCQ (Single Correct Answer)
+2
-0.6
Which ONE of the following is a linear non - homogeneous differential equation , where $$x$$ and $$y$$ are the independent and dependent variables respectively?
A
$${{dy} \over {dx}} + xy = {e^{ - x}}$$
B
$${{dy} \over {dx}} + xy = 0$$
C
$${{dy} \over {dx}} + xy = {e^{ - y}}$$
D
$${{dy} \over {dx}} + {e^{ - y}} = 0$$
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