Assuming that 50% of the automobile accidents are due to a speed violation.
a) What is the probability that among 10 automobile accidents at least 6 will be due mainly to a speed violation?
b) What is the probability that among 10 automobile accidents no more than 5 will be due mainly to a speed violation?
c) What is the probability that among 10 automobile accidents at most 7 will be due mainly to a speed violation?
d) What is the probability that the 3rd accident due to a speed violation is the 6th automobile accident among 10 automobile accidents?
e) What is the probability that the 3rd automobile accident is the 1st accident due to a speed violation, among 10 automobile accidents?
f) Is the distribution of automobile accidents approximately normal?
g) If so, repeat parts (a) to (c) using normal distribution formulas/table and compare your results with the answers of these parts