1

GATE IN 2014

Numerical

+2

-0

The figure shown the schematic of a production process with machines $$A, B$$ and $$C.$$ An input job needs to be pre-processed either by $$A$$ or by $$B$$ before it is fed to $$C,$$ from which the final finished product comes out. The probabilities of failure of the machines are given as:

$${P_{\rm A}} = 0.15,\,\,{P_{\rm B}} = 0.05\,\,\& \,\,{P_C} = 0.1$$

$${P_{\rm A}} = 0.15,\,\,{P_{\rm B}} = 0.05\,\,\& \,\,{P_C} = 0.1$$

Assuming independence of failures of the machines, the probability that a given job is successfully processed (up to the third decimal place) is _____.

Your input ____

2

GATE IN 2012

MCQ (Single Correct Answer)

+2

-0.6

A fair coin is tossed till a head appears for the first time. The probability that the number of required tosses is odd, is

3

GATE IN 2011

MCQ (Single Correct Answer)

+2

-0.6

The box $$1$$ contains chips numbered $$3, 6, 9,$$ $$12$$ and $$15$$. The box $$2$$ contains chips numbered $$6, 11, 16, 21$$ and $$26$$. Two chips, one from each box are drawn at random. The numbers written on these chips are multiplied. The probability for the product to be an even number is ______________.

4

GATE IN 2008

MCQ (Single Correct Answer)

+2

-0.6

Consider a Gaussian distributed random variable with zero mean and standard deviation $$\sigma .\,\,\,$$ The value of its cumulative distribution function at the origin will be

Questions Asked from Probability and Statistics (Marks 2)

Number in Brackets after Paper Indicates No. of Questions

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