A university police department receives an average of 4.2 reports per week of lost student ID cards. Round your answers to four decimal places.
a. Find the probability that at most 1 such report will be received during a given week by this police department. Use the Poisson probability distribution formula.
P(at most 1)=
b. Using the Poisson probabilities table, find the probability that during a given week the number of such reports received by this police department is
i.2 to 5
P(2 to 5)=
ii. at least 6
P(at least 6)=
iii. at most 3
P(at most 3)=