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The probability that a thermistor randomly picked up from a production unit is defective is $$0.1.$$ The probability th...
GATE IN 2015
A continuous random variable $$X$$ has a probability density function $$f\left( x \right) = {e^{ - x}},0 &lt; x &lt; \in... GATE IN 2013 Two independent random variables$$X$$and$$Y$$are uniformly distributed in the interval$$\left[ { - 1,1} \right].$$... GATE IN 2012 A screening test is carried out to detect a certain disease. It is found that$$12$$% of the positive reports and$$15$... GATE IN 2009 A random variable is uniformly distributed over the interval $$2$$ to $$10.$$ Its variance will be GATE IN 2008 Assume that the duration in minutes of a telephone conversation follows the exponential distribution $$\,f\left( x \righ... GATE IN 2007 The probability that there are$$53$$Sundays in a randomly chosen leap year is GATE IN 2005 ## Marks 2 More The probability that a communication system will have high fidelity is$$0.81.$$The probability that the system will h... GATE IN 2017 An urn contains$$5$$red and$$7$$green balls. A ball is drawn at random and its colour is noted. The ball is placed b... GATE IN 2016 A coin is tossed thrice. Let$$X$$be the event that head occurs in each of the first two tosses. Let$$Y$$be the event... GATE IN 2015 The probability density function of a random variable$$X$$is$$\,{P_x}\left( x \right) = {e^{ - x}}\,\,$$for$$\,\,x... GATE IN 2015 The figure shown the schematic of a production process with machines $$A, B$$ and $$C.$$ An input job needs to be pre-pr... GATE IN 2014 Given that $$x$$ is a random variable in the range $$\left[ {0,\infty } \right]$$ with a probability density function $$... GATE IN 2014 A fair coin is tossed till a head appears for the first time. The probability that the number of required tosses is odd... GATE IN 2012 The box$$1$$contains chips numbered$$3, 6, 9,12$$and$$15$$. The box$$2$$contains chips numbered$$6, 11, 16... GATE IN 2011 $${P_x}\left( X \right) = M{e^{\left( { - 2\left| x \right|} \right)}} + N{e^{\left( { - 3\left| x \right|} \right)}}\,\... GATE IN 2008 Consider a Gaussian distributed random variable with zero mean and standard deviation$$\sigma .\,\,\,$\$ The value of it...
GATE IN 2008

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