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(e) A sensor records the displacement (cm) of a structural element of a bridge under two possible traffic loading conditions, Li, 3' = 1,2, where the prior probability of L1 is 0.6. For each of these loading conditions, the number of measurements, their sum, and their sum-of-squares, are recorded, as follows: j=1 14 4.6 251 3' = 2 9 5.1 +322 Two new measurements, m1 = 0.4 and $2 = 0.7 are recorded under one of the loading conditions. Use the statistics above to estimate the probability that they are recorded under L1. [20 %]