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 __________________.
2
GATE CSE 2013
+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
+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
+1
-0.3
If two fair coins are flipped and at least one of the outcomes is known to be a head, what is the probability that both outcomes are heads?
A
1/3
B
$${\raise0.5ex\hbox{\scriptstyle 1} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{\scriptstyle 4}}$$
C
$${\raise0.5ex\hbox{\scriptstyle 1} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{\scriptstyle 2}}$$
D
2/3
GATE CSE Subjects
EXAM MAP
Medical
NEET