Discuss the below:
Q1. A certain airplane has 2 independent alternators to provide electrical power. The probability that a given alternator will fail on a 1 hour flight is 0.02 .
Probability: a) both will fail?
b) neither will fail?
c) one or the other will fail?
Q2. Probability is 1 in 4,000,000 that a single auto trip will result in a fatality. over a lifetime an average driver takes 50,000 trips.
a) What is probability of fatal accident over a lifetime? (independent events)
b) Why might the assumption of independence be violated?
c) Why might a driver be tempted Not to use a seat belt "just for this trip?