in New York State, the mean salary for high school teachers in 2017 was $104,210 with a standard deviation of $9,660. Only Alaska’s mean salary was higher! Assume New York’s state salaries follow a normal distribution. a. What percent of New York’s state high school teachers earn between $89,000 and $94,000? (Round intermediate calculations to 2 decimal places and final answer to 2 decimal places.) b. What percent of New York’s state high school teachers earn between $94,000 and $109,000? (Round intermediate calculations to 2 decimal places and final answer to 2 decimal places.) c. What percent of New York’s state high school teachers earn less than $79,000? (Round intermediate calculations to 2 decimal places and final answer to 2 decimal places.)
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
in New York State, the mean salary for high school teachers in 2017 was $104,210 with a standard deviation of $9,660. Only Alaska’s mean salary was higher! Assume New York’s state salaries follow a
a. What percent of New York’s state high school teachers earn between $89,000 and $94,000? (Round intermediate calculations to 2 decimal places and final answer to 2 decimal places.)
b. What percent of New York’s state high school teachers earn between $94,000 and $109,000? (Round intermediate calculations to 2 decimal places and final answer to 2 decimal places.)
c. What percent of New York’s state high school teachers earn less than $79,000? (Round intermediate calculations to 2 decimal places and final answer to 2 decimal places.)
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