7) The 2011-2012 tuitions (in thousands of dollars) of 2-year, public colleges a

Question

7) The 2011-2012 tuitions (in thousands of dollars) of 2-year, public colleges are described by the density histogram the figure below. Some of the tuitions are greater than 8 thousand dollars, but the bars for those tuitions would not be visible. (2 pts. each) Tuitions of 2-Year, Public Colleges a) Estimate the proportion of the colleges that had tuitions between $3000.00 and $4999.99, inclusive. 0.40 0.30 0.20 0.10t 0.15 b) What proportion of the colleges had tuitions less than $2 thousand? 0.30 0.32 0.07 0.09 Thousands of dollars c) What proportion of the colleges had tuitions more than $6 thousand?

Explanation / Answer

a)

Proportion of the colleges that had tuitions between $3000.00 and $4999.99 is

= 0.32 + 0.09

= 0.41

b)

Proportion of th colleges had tuitions less than $2 thousands = 0.15 + 0.07 = 0.22

c)

Total proportion must be equal to 1.

Therefore,

Proportion of the colleges had tuitions more than $6 thousands

= 1 - proportion of the colleges had tuitions less than $6 thousands

= 1 - (0.07 + 0.15 + 0.30 + 0.32 + 0.09 + 0.05)

= 0.02

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