What is probability that an aircraft in flight land safely

Reference no: EM131370858

A commercial jet aircraft has four engines. For an aircraft in flight to land safely, at least two engines should be in working condition. Each engine has an independent reliability of p = 92%.

a. What is the probability that an aircraft in flight can land safely?

b. If the probability of landing safely must be at least 99.5%, what is the minimum value for p? Repeat the question for probability of landing safely to be 99.9%.

c. If the reliability cannot be improved beyond 92% but the number of engines in a plane can be increased, what is the minimum number of engines that would achieve at least 99.5% probability of landing safely? Repeat for 99.9% probability.

d. One would certainly desire 99.9% probability of landing safely. Looking at the answers to (b) and (c), what would you say is a better approach to safety, increasing the number of engines or increasing the reliability of each engine?

Reference no: EM131370858

Questions Cloud

Write the probability density function of random variable : Write the probability density function of this random variable.- What is the probability that the task will be performed in less than 8 minutes? Explain.

Case study but research paper about southwest airlines : IT’s not a case study but a research paper about Southwest airlines. Briefly summarize the key facts, scope and aspects of Southwest Airlines.

Indication of an out-of-control process : Which of the following is NOT an indication of an out-of-control process? A machined part has a lower specification limit of 3.5 inches and an upper specification limit of 3.9 inches. The range for the pre-control green zone is:

Find out what the increase or decrease should be : What is the probability that each of the 30 students will get a computer in working condition?- find out what the increase or decrease should be for each of the three alternatives.

What is probability that an aircraft in flight land safely : If the probability of landing safely must be at least 99.5%, what is the minimum value for p? Repeat the question for probability of landing safely to be 99.9%.

Describe how it is calculated and what it shows : Financial ratios can be used to examine the financial health of all healthcare companies. Choose a ratio from the lecture or reading that you found very useful. Describe how it is calculated and what it shows. Explain why you can't use just that o..

What are average return and standard deviation for portfolio : An investment portfolio has equal proportions invested in five stocks.- What are average return and standard deviation for this portfolio?

Natural disaster-what is your ultimate decision : A natural disaster has occurred across the state. Disastrous conditions affect everyone. There will be no power, running water or any assistance until further notice. What is your ultimate decision? Do you give away everything becoming a local hero; ..

What is the expected number of applications : If she has enough time to complete only six applications, how confident can she be of getting three offers within the available time?

User Account

All Pages