Question: A random number generator was used to generate random numbers along the interval from 1 to 5. The density curve of the generated data is

A random number generator was used to generate random numbers along the interval from 1 to 5. The density curve of the generated data is shown. At what value, y, must the blue line be placed in order to have 20% of the data between 1 and y? We need to solve LW = 0.2, where W is the height of the rectangle of interest (here, 0.25). Solving 0.25L = 0.2 for L, we have L = 0.2/0.25 = 0.8. Therefore, the value at y is _____

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