Salaries for teachers in a particular elementary school district are normally distributed with a mean of $41,000 and a standard deviation of $6,200. We randomly survey ten teachers from that district. 1.Find the probability that the teachers earn a total of over $400,000. (Round your answer to four decimal places.) 2.Find the 70th percentile for an individual teacher's salary. (Round your answer to the nearest whole number.)
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!
Salaries for teachers in a particular elementary school district are
1.Find the
2.Find the 70th percentile for an individual teacher's salary. (Round your answer to the nearest whole number.)
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