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.
616 exam-style questions on Edexcel A Level Maths The Normal Distribution, covering 3.1 The Normal Distribution, 3.2 Finding Probabilities for Normal Distributions, 3.3 The Inverse Normal Distribution Function, 3.4 The Standard Normal Distribution, 3.5 Finding the mean and standard deviation, 3.6 Approximating a Binomial Distribution, and 3.7 Hypothesis Testing with the Normal Distribution. Each one has a worked solution and a mark scheme showing where the marks go.