A private individual thinks it secures for the next year the objects of value that he has in his house, which he has calculated that they cost 10000€. Statistical researches show that the probability of burglary for the next year is 0.03 and that, in the event burglary, the value of stolen will be 10%, 40% and 60% of total value of objects, with probabilities 20%, 30% and 50%, respectively. Actuarial company A debits 150€ the year and in the event theft compensates for the total height of stolen, after she removes the first 50€ (that are covered by the householder). Actuarial company B debits 75€ the year and in the event theft compensates for the 50% of total height of stolen. • With datum that in one year it can happen maximum a burglary, find itself if the private individual should secure the objects of his house, and if yes, with who company.
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