So, the probability density function (pdf) of X is:
f_X(x) = \frac{1}{15 - (-5)} = \frac{1}{20}, \text{ for } -5 \le x \le 15
Now, we have Y = e^{4x/5}. We want to find E[Y], which is the expected value of Y. To do this, we need to find the pdf of Y, f_Y(y), and
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