GATE ECE 2014 Set 3 | GATE ECE Year Wise Previous Years Questions

GATE ECE 2014 Set 3

MCQ (Single Correct Answer)

-0.3

An unbiased coin is tossed an infinite number of times. The probability that the fourth head appears at the tenth toss is

$$0.067$$

$$0.073$$

$$0.082$$

$$0.091$$

GATE ECE 2014 Set 3

Numerical

-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 ____

GATE ECE 2014 Set 3

Numerical

-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 ____

GATE ECE 2014 Set 3

MCQ (Single Correct Answer)

-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?

$${{dy} \over {dx}} + xy = {e^{ - x}}$$

$${{dy} \over {dx}} + xy = 0$$

$${{dy} \over {dx}} + xy = {e^{ - y}}$$

$${{dy} \over {dx}} + {e^{ - y}} = 0$$

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