The frequency of earthquakes in an area recorded over time can be modeled using the exponential function, given by x20 f(x) = 10, x<0 where x is the earthquake's Richter magnitude scale and 2. is a constant. If 2 = 1.75 and letting x be the random variable indicating the earthquake's strength, answer the following questions: %3D How frequent do earthquakes of less than Magnitude 1.0 occur compared with earthquakes of Magnitude 1.0-2.0? What is the probability that the next earthquake event has a strength greater than Magnitude 8.0? а. b. с. What is the expected value of the random variable х? d. What is the standard deviation of the random variable x

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