The length of eels (in cm) in a river may be assumed to be normally distributed with a mean of μ=48μ=48 and a standard deviation of σ=6σ=6. An angler catches an eel from a river. Let: X=X= the length (in cm) of an eel   a)If the normal length of eels is between 4545 cm and 6060 cm, what percentage of eels fall within this normal range?Round your answer to 2 decimal places. b) What is the probability that an eel is at least 3939 cm in length?Round your answer to 4 decimal places. c) The middle 50%of the lengths (in cm) of the eels are between_________   and__________ .Round your answers to 2 decimal places d)Due to the symmetry of the normal distribution we know that P(X>42)=P(X<_________)

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The length of eels (in cm) in a river may be assumed to be normally distributed with a mean of μ=48μ=48 and a standard deviation of σ=6σ=6. An angler catches an eel from a river.

Let: X=X= the length (in cm) of an eel

 

a)If the normal length of eels is between 4545 cm and 6060 cm, what percentage of eels fall within this normal range?Round your answer to 2 decimal places.

b) What is the probability that an eel is at least 3939 cm in length?Round your answer to 4 decimal places.

c) The middle 50%of the lengths (in cm) of the eels are between_________   and__________ .Round your answers to 2 decimal places

d)Due to the symmetry of the normal distribution we know that

P(X>42)=P(X<_________)

 

Thank you very much for your assistance as it is greatly appreciated, a like is guaranteed if all is done well.


 

 
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