A bridge culvert is designed to pass a stream discharge with an annual exceedance probability of 0.02 without overtopping the roadway.
a) Compute the probability that the bridge will be overtopped at least once during the next ten years.
b) Computer the probability that the bridge will be overtopped exactly once during the next ten years.
c) Compute the probability that the bridge will be overtopped in two of the next 50 years.