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.
390 exam-style questions on OCR (MEI) A Level Maths 2.4 Probability Distributions, covering 2.4.1 Recognise binomial situations, 2.4.2 Probability of success p, 2.4.3 Calculate binomial probabilities, 2.4.4 Mean of the binomial distribution, 2.4.5 Expected frequencies for binomial, 2.4.6 Probability functions and discrete random variables, 2.4.7 Numerical probabilities for a simple distribution, 2.4.8 Normal distribution as a model (A-level only), 2.4.9 Shape of the Normal curve (A-level only), 2.4.10 Linear transformation and standardising (A-level only), 2.4.11 Symmetry and inflection of Normal curve (A-level only), 2.4.12 Calculate probabilities from a Normal distribution (A-level only), 2.4.13 Model with probability distributions, and 2.4 Probability Distributions. Each one has a worked solution and a mark scheme showing where the marks go.