prob.part44.91_92

# prob.part44.91_92 - 3.1 PERMUTATIONS Date 1974 1975 1976...

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3.1. PERMUTATIONS 83 Date Snowfall in inches 1974 75 1975 88 1976 72 1977 110 1978 85 1979 30 1980 55 1981 86 1982 51 1983 64 Table 3.6: Snowfall in Hanover. Year 1 2 3 4 5 6 7 8 9 10 Ranking 6 9 5 10 7 1 3 8 2 4 Table 3.7: Ranking of total snowfall. method is given in Example 3.12. Records Here is another interesting probability problem that involves permutations. Esti- mates for the amount of measured snow in inches in Hanover, New Hampshire, in the ten years from 1974 to 1983 are shown in Table 3.6. Suppose we have started keeping records in 1974. Then our Frst year’s snowfall could be considered a record snowfall starting from this year. A new record was established in 1975; the next record was established in 1977, and there were no new records established after this year. Thus, in this ten-year period, there were three records established: 1974, 1975, and 1977. The question that we ask is: How many records should we expect to be established in such a ten-year period? We can count the number of records in terms of a permutation as follows: We number the years from 1 to 10. The

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prob.part44.91_92 - 3.1 PERMUTATIONS Date 1974 1975 1976...

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