Question: A website receives hits whose arrivals seem to satisfy the properties of a Poisson Process. The probability that a hit arrives during any given second (the unit time period) is a low 0.002. For X the number of hits during a 2-hour time period:

(a) What is the distribution of X (be sure to give the parameter's value)?

(b) Compute P(X = 12)

(c) Compute \(\Pr \left( 11\le X\le 16 \right)\)