1
GATE IN 2009
+1
-0.3
A screening test is carried out to detect a certain disease. It is found that $$12$$% of the positive reports and $$15$$% of the negative reports are incorrect. Assuming that the probability of a person getting positive reports is $$0.01,$$ the probability that a person tested gets an incorrect reports is
A
$$0.0027$$
B
$$0.0173$$
C
$$0.1497$$
D
$$0.2100$$
2
GATE IN 2008
+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
$$36$$
3
GATE IN 2007
+1
-0.3
Assume that the duration in minutes of a telephone conversation follows the exponential distribution $$\,f\left( x \right) = {1 \over 5}{e^{ - x/5}},\,x \ge 0.\,\,\,$$ The probability that the conversation will exceed five minutes is
A
$${1 \over e}$$
B
$$1 - {1 \over e}$$
C
$${1 \over {{e^2}}}$$
D
$$1 - {1 \over {{e^2}}}$$
4
GATE IN 2005
+1
-0.3
The probability that there are $$53$$ Sundays in a randomly chosen leap year is
A
$${1 \over 7}$$
B
$${1 \over 14}$$
C
$${1 \over 28}$$
D
$${2 \over 7}$$
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