A researcher is interested in the lengths of Salvelinus fontinalis (brook trout), which are known to be approximately Normally distributed with mean 87 centimeters and standard deviation 7...

A researcher is interested in the lengths ofSalvelinus fontinalis (brook trout), which are known to be approximately Normally distributed with mean 87 centimeters and standard deviation 7 centimeters. To help preserve brook trout populations, some regulatory standards need to be set limiting the size of fish that can be caught. (Consider the 68%-95%-99.7% Rule, as it applies)

a)Give the z-score for a  length measuring 78.5cm (Round to 2 Decimal Places).

b)Approximately what percentage of the general population have a length above 80cm?

c)Approximately 16% of the general population will have a length measuring __??__cm or less?