Answer
a)mean=6.54
b)0.9986
c)very unlikely.
Work Step by Step
a) Here, $mean=\frac{268}{41}=6.54.$
b)$P(X\geq1)=1-P(X=0)=1-\frac{6.54^0\cdot e^{-6.54}}{0!}=1-0.0014=0.9986.$
c)The probability of 0 earthquake is really low (you can see it in b)) theerefore it is very unlikely.