Question: Let p(t) = 0.0375t 2 +0.225t be the density function for the shelf life of a brand of banana which lasts up to 4 weeks.

Let p(t) = −0.0375t² +0.225t be the density function for the shelf life of a brand of banana which lasts up to 4 weeks. Time, t, is measured in weeks and 0 ≤ t ≤ 4.

Find the mean shelf life of a banana using p(t). Plot the mean on a graph of p(t). Does it look like the mean is the place where the density function balances?

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