You can
put this solution on YOUR website! I think youu have to use Poisson distribution
the mean (avg) of one bank failing is 1 for every 6 days.
Hence, the mean is 5 =30/6 banks failing for 30 days .
Now lambda = 5,
Let the random variable of Poisson dist. with mean u = 5 (in 30 days).
We have Pr(X=k) = u^k/k! *e^(-u)
Hence, Pr(X =>1) = 1- Pr(X =0) = 1 - e^(-5) = 0.993
Kenny