GATE (TF) Textile 2012 Question Paper Solution | GATE/2012/TF/34

Question 34 (Textile Engineering & Fibre Science)

The number of neps in a carded web follows Poisson distribution with a mean of 100 per m2. The probability that there is no nep in an area of 645 cm2 is

Answer / Solution

By Poisson distribution-
Mean=100 per m2
Then no. of neps=?
Probability that there is no neps in an area 645 cm2=?
By Poisson distribution-
=\frac{e^{-m} \times m^r}{r!}
=\frac{e^{-m} \times m^r}{r!}
=e^{-6.45} Ans
Option A is correct.

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