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A general insurance company insuring vehicles for a period of one year classifies its policy holders into three mutually exclusive group. Group T_(1) : Policy holders with very high risk factor Group T_(2): Policy holders with high risk factor Group T_(3) : Policy holders with less risk factor From the past experience of the company, 30% of its policy holders belong to group T_(1), 50% belong to group T_(2), & the rest belong to group T_(3). If the probabilities that policy holders belonging to groups T_(1),T_(2) and T_(3) meet with an accident are 0.30, 0.15 and 0.05 respectively, find the proportion of policy holders having a policy for one year will meet with an accident. If a randomly selected policy holder does not meet with an accident, what is the probability that he belongs to group T_(2) ? |
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