1
GATE PI 2016
+1
-0.3
A fair coin is tossed $$N$$ times. The probability that head does not turn up in any of the tosses is
A
$${\left( {{1 \over 2}} \right)^{N - 1}}$$
B
$$1 - {\left( {{1 \over 2}} \right)^{N - 1}}$$
C
$${\left( {{1 \over 2}} \right)^N}$$
D
$$1 - {\left( {{1 \over 2}} \right)^N}$$
2
GATE PI 2014
+1
-0.3
In a given day in the rainy season, it may rain$$70$$% of the time . If it rains, chance that a village fair will make a loss on that day is $$80$$%. However, if it does not rain, chance that the fair will make a loss on that day is only $$10$$%. If the fair has not made a loss on a given day in the rainy season, what is the probability that it has not rained on that day?
A
$$3/10$$
B
$$9/11$$
C
$$14/17$$
D
$$27/41$$
3
GATE PI 2008
+1
-0.3
For a random variable $$\,x\left( { - \infty < x < \infty } \right)\,\,$$ following normal distribution, the mean is $$\,\mu = 100\,\,.$$ If the probability is $$\,\,P = \alpha \,\,$$ for $$\,\,x \ge 110.\,\,\,$$ Then the probability of $$x$$ lying $$b/w$$ $$90$$ and $$110$$ i.e., $$\,P\left( {90 \le x \le 110} \right)\,\,$$ and equal to
A
$$\,1 - 2\alpha$$
B
$$\,1 - \alpha$$
C
$$1 - \alpha /2$$
D
$$2\,\alpha$$
4
GATE PI 2007
+1
-0.3
The random variable $$X$$ takes on the values $$1,$$ $$2$$ (or) $$3$$ with probabilities $$\,{{2 + 5P} \over 5},{{1 + 3P} \over 5}\,\,$$ and $$\,\,{{1.5 + 2P} \over 5}\,\,$$ respectively the values of $$P$$ and $$E(X)$$ are respectively
A
$$0.05, 1.87$$
B
$$1.90, 5.87$$
C
$$0.05, 1.10$$
D
$$0.25, 1.40$$
GATE PI Subjects
Fluid Mechanics
Metrology
Theory of Machines
Machine Tools and Machining
Industrial Engineering
Engineering Mechanics
Thermodynamics
Machine Design
Casting
Joining of Materials
Metal Forming
EXAM MAP
Medical
NEET