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2.4.4 Mean and variance of the binomial (A-level only)

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Question 2

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.

a.

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.

[3]
b.

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.

[5]

2.4.4 Mean and variance of the binomial (A-level only) Questions

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  3. /2.4.4 Mean and variance of the binomial (A-level only)