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AP EAMCET · Maths · Probability

The number of persons joining a cinema ticket counter in a minute follows a Poisson distribution with parameter 6, then the probability that at least one and at most five persons join the queue in a particular minute is

  1. A \(\mathrm{e}^{-6 \times 6}(25.48)\)
  2. B \(e^{-6}\left(\frac{6}{2}+\frac{6^3}{3 !}+\frac{6^4}{4 !}\right)\)
  3. C \(6 \times \mathrm{e}^{-6}(29.8)\)
  4. D \(e^{-6}\left(6+\frac{6^2}{2}+\frac{6^3}{3 !}+\frac{6^4}{4 !}\right)\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(6 \times \mathrm{e}^{-6}(29.8)\)

Step-by-step Solution

Detailed explanation

(c) We have Poisson distribution…