Refer to Exercise 5.4.12. Suppose that the biologist takes a random sample of size 50. Find the probability that fewer than 35 of the sampled mussels will be infected, using the normal approximation
(a) Without the continuity correction.
(b) With the continuity correction.
Exercise 5.4.12
In a certain population of mussels (Mytilus edu-lis), 80% of the individuals are infected with an intestinal parasite.1 A marine biologist plans to examine 100 randomly chosen mussels from the population. Find the probability that 85% or more of the sampled mussels will be infected, using the normal approximation without the continuity correction.