Answer
$P(0)=0.951$
In about 951 of next thousand 100 million miles of flight, there will be no fatal accidents.
Work Step by Step
$P(x)=\frac{(λt)^x}{x!}e^{-λt}$
λ = 0.05 -> (0.05 fatal accidents per 100 million miles)
t = 1 -> (the next 100 million miles)
$P(0)=\frac{(0.05\times1)^0}{0!}e^{-0.05\times1}=\frac{1}{1}e^{-0.05}=0.951$
