In New York State, the mean salary for high school teachers in $2022$ was $$101,810$ with a standard deviation of $$9,620.$ Only Alaska's

mean salary was higher! Assume New York's state salaries follow a normal distribution.

Required:

a$.$ What percent of New York's state high school teachers earn between $$87,000$ and $$92,000?$

Note: Round your intermediate calculations and final answer to $2$ decimal places.

Percent

$\%$

b$.$ What percent of New York's state high school teachers earn between $$92,000$ and $$107,000?$

Note: Round your intermediate calculations and final answer to $2$ decimal places.

Percent

$\%$

c$.$ What percent of New York's state high school teachers earn less than $$77,000?$

Note: Round your intermediate calculations and final answer to $2$ decimal places.

Percent

$\%$

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