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Tiger Shark Population

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Marine biologists in Florida are studying the tiger shark to determine the factors that are contributing to their diminishing population. Adult tiger sharks along the Atlantic Coast of Florida have a mean length of 11.5 feet with a standard deviation of 0.9 foot. Adult tiger sharks along the Gulf coast of Florida have a mean length of 11.9 feet with a standard deviation of 0.6 foot. Tiger shark lengths are normally distributed.

20. The biologists need to capture 1 more adult tiger shark at least 13 feet in length for their study. Along which coast will the researchers have a higher probability of capturing the shark they need? Explain your reasoning.

21. The biologists need to capture 1 more adult tiger shark less than 10.5 feet in length in order to complete their study. Along which coast will the researchers have a higher probability of capturing the shark they need? Explain your reasoning.

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Solution Summary

The solution file identifies the highest probabilities for shark populations and shows the computations made with a TI 83 calculator.

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20. The biologists need to capture 1 more adult tiger shark at least 13 feet in length for their study. Along which coast will the researchers have a higher probability of capturing the shark they need? Explain your reasoning.
Enter the following on a TI 83 calculator.
...

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  • MSc, California State Polytechnic University, Pomona
  • MBA, University of California, Riverside
  • BSc, California State Polytechnic University, Pomona
  • BSc, California State Polytechnic University, Pomona
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  • "Hello, thank you for your answer for my probability question. However, I think you interpreted the second and third question differently than was meant, as the assumption still stands that a person still independently ranks the n options first. The probability I am after is the probability that this independently determined ranking then is equal to one of the p fixed rankings. Similarly for the third question, where the x people choose their ranking independently, and then I want the probability that for x people this is equal to one particular ranking. I was wondering if you could help me with this. "
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