The probabilities of the largest magnitude of an earthquake in any decade are as follows:

Construct a transformation graph that could transform a random number (E) over the range from 0 to 1 to the magnitude of an earthquake (M), where M takes on the center value for each interval of the magnitude. For each of the following values of E, find the simulated value of M:
E = {0.27, 0.62, 0.13, 0.49, 0.96, 0.06, 0.84}

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or Probability 1 0.78 0.8 0.6 0.4 0.2 Magnitude 3 to 4 4 to 5 5 to 6 6 to 7 7 to 8 8 to 9 0.78 0.13 0.04 0.03 0.01 0.01 0.91 0.95 0.98 0.99 1.00 0 3.5 4.5 5.5 6.5 7.5 8.5 M