1
GATE IN 2008
MCQ (Single Correct Answer)
+1
-0.3
$$\,\mathop {Lim}\limits_{x \to 0} {{\sin x} \over x}\,\,\,$$ is
A
indeterminate
B
$$0$$
C
$$1$$
D
$$ \propto $$
2
GATE IN 2008
MCQ (Single Correct Answer)
+2
-0.6
Consider the function $$\,\,y = {x^2} - 6x + 9.\,\,\,$$ The maximum value of $$y$$ obtained when $$x$$ varies over the interval $$2$$ to $$5$$ is
A
$$1$$
B
$$3$$
C
$$4$$
D
$$9$$
3
GATE IN 2008
MCQ (Single Correct Answer)
+2
-0.6
Consider a Gaussian distributed random variable with zero mean and standard deviation $$\sigma .\,\,\,$$ The value of its cumulative distribution function at the origin will be
A
$$0$$
B
$$0.5$$
C
$$1$$
D
$$10\,\sigma $$
4
GATE IN 2008
MCQ (Single Correct Answer)
+1
-0.3
A random variable is uniformly distributed over the interval $$2$$ to $$10.$$ Its variance will be
A
$$16/3$$
B
$$6$$
C
$$256/9$$
D
$$36$$