Question

In: Statistics and Probability

In a certain population of mussels (Mytilus edulis), 80% of the individuals are infected with an...

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.

  1. Find the probability that 85% or more of the sampled mussels will be infected using normal approximation to binomial distribution.
  2. What is the expected number of infected mussels in 50 randomly chosen mussels?

Solutions

Expert Solution

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)

Please hit thumps up if the answer helped you

orchestra answered 2 years ago
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