The probability that an adult inhabitant of the urban center under consideration is involved in a serious accident is 0.0012. Use an appropriate approximation to compute the probability that in a random sample of 2,500 adult inhabitants fewer than three were involved in a serious accident. Explain briefly and clearly why the approximation used is appropriate.
a) 0.987
b) 0.112
c) 0.888
d) 0.999