Assume an airplane has 4 engines each failing with probability of 0.0001. What is the probability that at least one engine fail? (Hint: Think about the complement event and its probability first)
Assume an airplane has 4 engines each failing with probability of 0.0001. What is the probability...
Assume an airplane has 4 engines each failing with probability of 0.0001. What is the probability that all 4 engines fail (none work)? A. 0.9999^4 B. 1 - 0.9999^4 C. 0.0001^4 D. 1
Geometric distribution, show work 44. One type of jet engine has a 0.0001 probability of failure while in flight. For a jet that has four of these engines, what is the probability of at least two of them failing?
An airplane needs at least half of its engines to safely complete its mission. If each engine independently functions with probability p, for what values of p is a one-engine plane safer than a three-engine plane? (Hint: Plane A is safer than Plane B if the probability that Plane A can safely complete its mission is larger than the probability that Plane B can safely complete its mission.)
An airplane needs at least half of its engines to safely complete its mission. If each engine independently functions with probability p, for what values of p is a one-engine plane safer than a three-engine plane? (Hint: Plane A is safer than Plane B if the probability that Plane A can safely complete its mission is larger than the probability that Plane B can safely complete its mission.
A missile guidance system has ten fail-safe components. The probability of each failing is 0.40. Assume the variable is binomial. Find the following probabilities. Round your answers to four decimal places. Part 1 out of 4 Exactly eight will fail. P(exactly eight will fail)
2) For each scenario, explain what distribution would be the best to use and why Data from counting the number of a-particles given off in a o material. Airplane engines will fail when in flight with probability p. We are interested in computing the probability of at most 1 engine among the 6 failing on the plane A study collected data on the different motor symptoms first experienced by 20 subjects genetically at-risk for Huntington's disease. We are interested in...
If the records show that the probability of failing this course is p=0.2, what is the probability that at most 2 students out of 15 fail this course? A-10 B-3 C-1 D-0 F-1 *Failing grades are D's and F's*
Suppose that two fair dice are rolled, What is the probability that the number shown on one will be twice the number shown on the other (hint: make a table and count). 7. Doomsday Airlines has an old propeller plane that will fly if at least one engine is working. Suppose that the probability of engine failure is 0.1 for the port engine and 0.15 for the starboard engine. Of course the engines function or fail completely independently of each...
This problem demonstrates the concept of redundancy, the principle of improving reliability of systems by using redundant or backup components. Suppose a hydraulic system on an airplane has a 5% probability of failing. a) What is the probability that the hydraulic system does not fail (that is, the flight is completed safely)? b) Now, suppose that the airplane has three independent hydraulic systems that each have a 5% probability of failure. What is the probability that all three systems fail?...
11.3.81 Q22 In a certain four-engine vintage aircraft, now quite unreliable, each engine has a 12% chance of failure on any flight, as long as it is carrying its one-fourth share of the load. But if one engine fails, then the chance of failure increases to 24% for each of the other three engines. And if a second engine fails, each of the remaining two has a 36% chance of failure. Assuming that no two engines ever fail simultaneously, and...