In: Statistics and Probability
In a certain population of mussels (Mytilus edulis), 80% of the individuals are infected with an intestinal parasite. A marine biologist plans to examine 100 randomly chosen mussels from the population.
a)
This is a binomial distribution question with
n = 100
p = 0.80
q = 1 - p = 0.2
This binomial distribution can be approximated as Normal distribution since
np > 5 and nq > 5
Since we know that
The z-score at x = 84.5 is,
This implies that
b)
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