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Previous Year Question (PYQs)



In a multi user operating system, 20 requests are made to use a particular resource per hour, on an average. The probability that no request is made in 45 minutes is





Solution

Average requests per hour = $20$

Time = $45$ minutes $= \frac{3}{4}$ hour

Mean number of requests in $45$ minutes:

$\lambda = 20 \times \frac{3}{4} = 15$

Using Poisson distribution:

$P(X=0)=e^{-\lambda}\frac{\lambda^0}{0!}$

$P(X=0)=e^{-15}$


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