This assignment fulfills:

Module Objective 3: Calculated the probability, expected value, and standard deviation of a binomial probability experiment.

Course Outcome 3: Identify and apply appropriate probability distributions

The Prompt:

The probability of a single engine failing on a jet is 1/14000. Use this probability to determine the binomial probabilities of 0, 1, 2 and 3 engines failing on a 3-engine jet (you will have 4 separate answers for this part). Next, calculate the expected number of engines that will fail on this 3-engine jet (1 answer for this part). Finally, assume a flight will be completed safely if at least one engine works. Find the probability of a safe flight in this 3-engine jet(1 answer for this part). Your calculator will likely give answers to you in scientifice notation. Be sure to convert these answers to decimal notation, and display all digits provided by your calculator.

write an analysis of the probabilities and the expected value and state what they illustrate in the context of the given situation. Then use your probability of the jet safely completing the journey to explain your opinion on whether you feel a three-engine jet will safely complete the trans-Atlantic flight. Your paragraph should reference your calculations and knowledge of the strength of probability values.