The Consumer Financial Protection Bureau’s Consumer Response team hears directly from consumers about the challenges they face in the marketplace, brings their concerns to the attention of financial institutions, and assists in addressing their complaints. An analysis of complaints registered in March 2017 indicates that the mean number of vehicle lease complaints registered by consumers is 3.5 per day.

Assume that the number of vehicle lease complaints registered by consumers is distributed as a Poisson random variable. What is the probability that in a given day

a. No vehicle lease complaint will be registered by consumers? 

b. Exactly one vehicle lease complaint will be registered by consumers?

c. More than one vehicle lease complaint will be registered by consumers?

d. Fewer than two vehicle lease complaints will be registered by consumers?