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 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 isi.2 to 5 

P(2 to 5)=

ii. at least 6 

P(at least 6)=

iii. at most 3 

P(at most 3)=