Homework Help is Here – Start Your Trial Now!
Math
Probability
[3] Suppose that an airplane has three engines and each of the three engines on airplane functions correctly on a given flight with probability 0.90, and the engines function independently of each other. Assume that the plane can make a safe landing if at least two of its engines are functioning correctly. a) What is the probability that the engines will allow for a safe landing? For the rest of the problem suppose that an airline company has 2 such airplanes (each has three engines and each engine functions properly with prob. 0.90 as in the previous part). Let X be a random variable defined as X = # of airplanes that lands safely out of 2. b) Describe the probability distribution function for the random variable X, i.e., describe the possible values that X can assume and the corresponding probabilities. c) In the next 1000 days, on average how many days the company should expect to hear bad news? (Assume that a crashed airplane is replaced with a new one for the next flight)

[3] Suppose that an airplane has three engines and each of the three engines on airplane functions correctly on a given flight with probability 0.90, and the engines function independently of each other. Assume that the plane can make a safe landing if at least two of its engines are functioning correctly. a) What is the probability that the engines will allow for a safe landing? For the rest of the problem suppose that an airline company has 2 such airplanes (each has three engines and each engine functions properly with prob. 0.90 as in the previous part). Let X be a random variable defined as X = # of airplanes that lands safely out of 2. b) Describe the probability distribution function for the random variable X, i.e., describe the possible values that X can assume and the corresponding probabilities. c) In the next 1000 days, on average how many days the company should expect to hear bad news? (Assume that a crashed airplane is replaced with a new one for the next flight)

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
See similar textbooks
icon
Related questions
Question
Show full answers and steps to this exercise
[3] Suppose that an airplane has three engines and each of the three engines on the airplane functions correctly on a given flight with probability 0.90, and the engines function independently of each other. Assume that the plane can make a safe landing if at least two of its engines are functioning correctly. a) What is the probability that the engines will allow for a safe landing? For the rest of the problem suppose that an airline company has 2 such airplanes (each has three engines and each engine functions properly with prob. 0.90 as in the previous part). Let X be a random variable defined as X = # of airplanes that lands safely out of 2. M b) Describe the probability distribution function for the random variable X, i.e., describe the possible values that X can assume and the corresponding probabilities. c) In the next 1000 days, on average how many days the company should expect to hear bad news? (Assume that a crashed airplane is replaced with a new one for the next flight)
Transcribed Image Text:[3] Suppose that an airplane has three engines and each of the three engines on the airplane functions correctly on a given flight with probability 0.90, and the engines function independently of each other. Assume that the plane can make a safe landing if at least two of its engines are functioning correctly. a) What is the probability that the engines will allow for a safe landing? For the rest of the problem suppose that an airline company has 2 such airplanes (each has three engines and each engine functions properly with prob. 0.90 as in the previous part). Let X be a random variable defined as X = # of airplanes that lands safely out of 2. M b) Describe the probability distribution function for the random variable X, i.e., describe the possible values that X can assume and the corresponding probabilities. c) In the next 1000 days, on average how many days the company should expect to hear bad news? (Assume that a crashed airplane is replaced with a new one for the next flight)
Expert Solution
steps

Step by step

Solved in 5 steps with 19 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer