In studying the dynamics of fish populations, knowing the length of a species at different ages is critical, especially for commercial fishermen. Fisheries Science (Feb. 1995) published a study of the length distributions of sardines inhabiting Japanese waters. At two years of age. fish have a length distribution that is approximately normal with µ = 20.20 centimeters (cm) and σ =.65 cm. a. Find the probability that a two-year-old sardine inhabiting Japanese waters is between 20 and 21 cm long. b. A sardine captured in Japanese waters has a length of 19.84 cm. Is this sardine likely to be two years old? c. Repeat part b for a sardine with a length of 22.01 cm.
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