Question

1. If 5 customers arrive at Crusty’s Pizza every 10 minutes, what is the probability of exactly 12 customers arriving in the next 30 minutes (assume Poisson distribution)?
   1. 0.003
   2. 0.27
   3. 0.083
   4. 0.07

Answer 1

In 10 minutes = 5 customers

30 minutes = 15

i.e. $\fn_phv \lambda = 15$

We know that,

$\fn_phv P(x, \lambda ) = (e^{-\lambda })*(\lambda ^{x})\div x!$

So for x = 12

P(12, 15) = 0.08285923436

Option C is correct.