The total life time (in years) of 5 years old dog of a certain breed is a random variable whose distribution Function is given by
F(x) = 0, for x<=5
1 - 25/x^2, for x>5
.Find the probability that such a five year old dog will live (i) beyond 10 years (ii) less than 8 years (iii) any where between 12 to 15 years
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