Assume that Richter scale magnitudes of earthquakes are normally distributed with a mean of 1.184 and a standard deviationof o.587. Use the appropriate z-score table when necessary.a.) What is the z score that corresponds to a Richter scale magnitude of 2.012? (round to two decimal places)Z =b.) What Richter scale magnitude (to three decimal places) would correspond to a z-score of 1.3?Richter scale magnitudec.) What is the probability of an earthquake having a Richter scale magnitude less than 2.012? (round to four decimal placesprobability a.) What is the z score that corresponds to a Richter scale magnitude of 2.012? (round to two decimal places)Z =b.) What Richter scale magnitude (to three decimal places) would correspond to a z-score of 1.3?Richter scale magnitudec.) What is the probability of an earthquake having a Richter scale magnitude less than 2.012? (round to four decimal places)probability =d.) What is the Richter scale magnitude that is associated to the top 5.4% of earthquakes. (round to three decimal places)on the Richter scale

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Assume that Richter scale magnitudes of earthquakes are normally distributed with a mean of 1.184 and a standard deviation of o.587. Use the appropriate z-score table when necessary. a.) What is the z score that corresponds to a Richter scale magnitude of 2.012? (round to two decimal places) Z = b.) What Richter scale magnitude (to three decimal places) would correspond to a z-score of 1.3? Richter scale magnitude c.) What is the probability of an earthquake having a Richter scale magnitude less than 2.012? (round to four decimal places