The magnitude of earthquakes since 1900 in California that measured 0.1 or higher on the Richter scale is approximately normally distributed with 6.2 and o 05 according to data obtained What is the probability thata randomly selected earthquake in California will have a magnitude between5.8 and 7.1? Solution P(5.8 < X < 7.1) = P((5.8-6.2)/0.5 < (x-6.2)/0.5 < (7.1-6.2)/0.5) = P(-0.8 < z < 1.8) = P(z < 1.8) - P(z < -0.8) = P(z < 1.8) - (1 - P(z < 0.8)) = P(z < 1.8) + P(z < 0.8) - 1 = 0.9641 + 0.7881 - 1 = 0.7522.