5. A filling station is supplied with gasoline once a week. If its weekly volume of sales...
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5. A filling station is supplied with gasoline once a week. If its weekly volume of sales in thousands of gallons is a random variable with probability density function
$$f(x) = \begin{cases}
5(1-x^4) & 0 < x < 1 \\
0 & otherwise
\end{cases}$$
what need the capacity of the tank be so that the probability of the supply's being exhausted in a given week is .01?
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