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## 'What's Your Mean?' printed from http://nrich.maths.org/

The probability density functions for two related, but unknown,
distributions are given in the following accurately plotted
chart.

It is known that the means of the distributions are whole numbers,
and that the two pdfs only have a single turning point.

By numerically estimating the required integrals, what can you
deduce with certainty about the two means?