(a) Compute the length of the middle 95% of all the crab leg lengths.

MATLAB: An Introduction with Applications
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Suppose we are examining the lengths of Red crab legs to determine how big
crab traps need to be. Originally, traps were designed to be 1.65 cubic metres.
The distribution of the crab legs lengths is Normally distributed, and the data
collected informs us that the mean is 1.2 metres and standard deviation is 0.2
metres.
(a)
Compute the length of the middle 95% of all the crab leg lengths.
Please answer the question in the following format: CLower length" Upper
Length")
For example: (O5,1.8)
Answer:
(b)
Compute the length of the middte 99.7% of all the crab leg lengths.
Please answer the question in the following format: (Lower length"Upper
Length")
For example: (0.5,1.8)
Answer:
Based on the current dimensions of a crab trap, would the trap
catch the middle 95% of all the crabs? What size would the trap need to be to
catch the middle 99.7% of all crabs?
Format options: Yes, "Size of trap" or No, "Size of trap
Answer
(d)i
what proportion of crab legs have tength between O.Bm and 1.8m7
ut of
Answer
Transcribed Image Text:Suppose we are examining the lengths of Red crab legs to determine how big crab traps need to be. Originally, traps were designed to be 1.65 cubic metres. The distribution of the crab legs lengths is Normally distributed, and the data collected informs us that the mean is 1.2 metres and standard deviation is 0.2 metres. (a) Compute the length of the middle 95% of all the crab leg lengths. Please answer the question in the following format: CLower length" Upper Length") For example: (O5,1.8) Answer: (b) Compute the length of the middte 99.7% of all the crab leg lengths. Please answer the question in the following format: (Lower length"Upper Length") For example: (0.5,1.8) Answer: Based on the current dimensions of a crab trap, would the trap catch the middle 95% of all the crabs? What size would the trap need to be to catch the middle 99.7% of all crabs? Format options: Yes, "Size of trap" or No, "Size of trap Answer (d)i what proportion of crab legs have tength between O.Bm and 1.8m7 ut of Answer
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