1
GATE CSE 2005
+1
-0.3
Let $$f(x)$$ be the continuous probability density function of a random variable X. The probability that $$a\, < \,X\, \le \,b$$, is:
A
$$f\,(b - a)$$
B
$$f(b)\, - \,f(a)$$
C
$$\int\limits_a^b f (x)\,dx$$
D
$$\int\limits_a^b {xf} (x)\,dx$$
2
GATE CSE 2004
+1
-0.3
In a population of N families, 50% of the families have three children, 30% of the families have two children and the remaining families have one child. What is the probability that a randomly picked child belongs to a family with two children ?
A
$$\,{3 \over {23}}$$
B
$$\,{6 \over {23}}$$
C
$$\,{3 \over {10}}$$
D
$$\,{3 \over {5}}$$
3
GATE CSE 2004
+1
-0.3
If a fair coin is tossed four times, what is the probability that two heads and two tails will result?
A
3/8
B
$${\raise0.5ex\hbox{1} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{2}}$$
C
5/8
D
3/4
4
GATE CSE 2003
+1
-0.3
Let P(E) denote the probability of the event E. Given P(A) = 1, P(B) = $${\raise0.5ex\hbox{1} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{2}}$$, the values of $$P\,(A\,\left| {B) \,} \right.$$ and $$P\,(B\,\left| {A) \,} \right.$$ respectively are
A
$${\raise0.5ex\hbox{1} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{4}},\,{\raise0.5ex\hbox{1} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{2}}$$
B
$${\raise0.5ex\hbox{1} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{2}},\,{\raise0.5ex\hbox{1} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{4}}$$
C
$${\raise0.5ex\hbox{1} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{2}},\,1$$
D
$$1,\,\,{\raise0.5ex\hbox{1} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{2}}$$
GATE CSE Subjects
Discrete Mathematics
Programming Languages
Theory of Computation
Operating Systems
Digital Logic
Computer Organization
Database Management System
Data Structures
Computer Networks
Algorithms
Compiler Design
Software Engineering
Web Technologies
General Aptitude
EXAM MAP
Joint Entrance Examination