65\% of 18-year-old university students who attempt the practical driving exam pass it on the first try. 10 randomly selected 18-year-old university students who have already passed the practical driving exam are chosen.\ Find:\ a) (0.75 points) Calculate the probability that exactly 3 of them needed more than one attempt to pass the practical driving exam.\ b) (0.75 points) Calculate the probability that at least one of them needed more than one attempt to pass the practical driving exam.\ c) (1 point) Using a normal distribution approximation, determine the probability that, given 60 of these university students, at least half passed the practical driving exam on the first try.
65\% of 18-year-old university students who attempt the practical driving exam pass it on the first try. 10 randomly selected 18-year-old university students who have already passed the practical driving exam are chosen.\
Find:\
a) (0.75 points) Calculate the probability that exactly 3 of them needed more than one attempt to pass the practical driving exam.\
b) (0.75 points) Calculate the probability that at least one of them needed more than one attempt to pass the practical driving exam.\
c) (1 point) Using a normal distribution approximation, determine the probability that, given 60 of these university students, at least half passed the practical driving exam on the first try.