A 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. The consumer response team accepts complaints related to$$ mortgages, bank accounts and$$ services, private student$$ loans, other consumer$$ loans, and credit reporting. An analysis of complaints over time indicates that the mean number of credit reporting complaints registered by consumers is $2\mathrm{.}55$ per day. Assume that the number of credit reporting complaints registered by consumers is distributed as a Poisson random variable. Complete parts$($a$)$ through$($d$)$ below.

A$.)$ What is the probability that on a given$$ day, no credit reporting complaints will be registered by$$ consumers?

B$.)$ What is the probability that on a given$$ day, exactly one credit reporting complaint will be registered by$$ consumers?

C$.)$ What is the probability that on a given$$ day, more than one credit reporting complaint will be registered by$$ consumers?

D$.)$ What is the probability that on a given$$ day, fewer than two credit reporting complaints will be registered by$$ consumers?