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The 2008 GSS provides the following statistics for the average years of education for lower-, working-, middle-, and upper-class respondents and their associated standard deviations.

The 2008 GSS provides the following statistics for the average years of education for lower-, working-, middle-, and upper-class respondents and their associated standard deviations.

Mean Standard Deviation N
Lower class 11.36 2.96 121
Working class 12.73 2.79 676
Middle class 14.40 3.04 636
Upper class 15.49 2.95 53

Assuming that years of education is normally distributed in the population, what is the probability that a working-class respondent, drawn at random from the population, will have more than 16 years of education?

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