Assume an airplane has 4 engines each failing with probability of 0.0001. What is the probability that all 4 engines fail (none work)?
due to independence probability that all 4 engines fail =(0.0001)4
therefore option C is correct,
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 at least one engine fail? (Hint: Think about the complement event and its probability first) 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?
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)
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*
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...
For questions 6-7: Assume that the probability of giving birth to a girl is 52% and that the probability of having a boy or a girl is an independent event 6. What is the probability of a family having a boy, a girl, and then a boy? a. 0.12 b. 0.98 c. 0.17 d. None of the above 7. If a family has three boys, what is the probability that the fourth child will be a boy? a. 0.05 b....
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.
Show all steps and explain how the answer was gotten 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?
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?...