A marine biologist uses an automated submersible to survey a deep-sea ridge. The probability of the submersible capturing an image of a rare bioluminescent jellyfish, JJJ, during any single 10-minute observation segment is 0.18.
The biologist conducts a short-range mission consisting of 25 observation segments. Determine the probability that fewer than 3 images of the jellyfish are captured.
In a subsequent large-scale longitudinal study involving 400 observation segments, use a suitable approximation to estimate the probability that the biologist captures more than 80 images of the jellyfish.