1
GATE CSE 2014 Set 1
Numerical
+1
-0
Suppose you break a stick of unit length at a point chosen uniformaly at random. Then the expected length of the shorter stick is __________________.
Your input ____
2
GATE CSE 2013
MCQ (Single Correct Answer)
+1
-0.3
Suppose p is the number of cars per minute passing through a certain road junction between 5PM and 6PM and p has a poisson distribution with mean 3. What is the probability of observing fewer than 3 cars during any given minute in this interval?
A
$$8/(2{e^3})$$
B
$$9/(2{e^3})$$
C
$$17/(2{e^3})$$
D
$$26/(2{e^3})$$
3
GATE CSE 2012
MCQ (Single Correct Answer)
+1
-0.3
Consider a random variable X that takes values + 1 and-1 with probability 0.5 each.
The values of the cumulative distribution function F(x) at x = - 1 and + 1 are
A
0 and 0.5
B
0 and 1
C
0.5 and 1
D
0.25 and 0.75
4
GATE CSE 2011
MCQ (Single Correct Answer)
+1
-0.3
If the difference between the expectation of the square of a random variable $$\left( {E\left[ {{X^2}} \right]} \right)$$ and the square of the expectation of the random variable $${\left( {E\left[ X \right]} \right)^2}$$ is denoted by R then
A
R = 0
B
R < 0
C
$$R\, \ge \,0$$
D
R > 0
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