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An airplane needs at least half of its engines to safely complete its mission. If each...
An airplane needs at least half of its engines to safely complete its mission. If each...
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.)
For reasons not entirely clear, Doomsday Airlines books a daily shuttle service from Altoona to Hoboken....
For reasons not entirely clear, Doomsday Airlines books a daily shuttle service from Altoona to Hoboken. They offer two round-trip flights, one on a two-engine prop plane, the other on a four-engine prop plane. Suppose that each engine on each plane will fail independently with the same probability p and that each plane will arrive safely at its destination only if at least half its engines remain in working order. Assuming that you want to continue living, for what values...
For reasons not entirely clear, Doomsday Airlines books a daily shuttle service from Altoona to Hoboken. They offer two...
For reasons not entirely clear, Doomsday Airlines books a daily shuttle service from Altoona to Hoboken. They offer two round-trip flights, one on a two-engine prop plane, the other on a four-engine prop plane. Suppose that each engine on each plane will fail independently with the same probability p and that each plane will arrive safely at its destination only if at least half its engines remain in working order. Assuming that you want to continue living, for what values...
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
Suppose that two fair dice are rolled, What is the probability that the number shown on...
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...
A manufacturing company receives orders for engines from two assembly plants. Plant I needs at least...
A manufacturing company receives orders for engines from two assembly plants. Plant I needs at least 45 engines, and plant II needs at least 32 engines. The company can send at most 140 engines to these assembly plants. It costs $30 per engine to ship to plant I and $40 per engine to ship to plant II. Plant I gives the manufacturing company $20 in rebates toward its products for each engine theybuy, while plant II gives similar $15 rebates....
A manufacturing company receives orders for engines from two assembly plants. Plant I needs at least...
A manufacturing company receives orders for engines from two assembly plants. Plant I needs at least 45 engines, and plant II needs at least 32 engines. The company can send at most 140 engines to these assembly plants. It costs $35 per engine to ship to plant I and $50 per engine to ship to plant II. Plant I gives the manufacturing company $20 in rebates toward its products for each engine they buy, while plant II gives similar $...
A manufacturing company receives orders for engines from two assembly plants. Plant I needs at least...
A manufacturing company receives orders for engines from two assembly plants. Plant I needs at least 45 engines, and plant II needs at least 32 engines. The company can send at most 140 engines to these assembly plants. It costs $35 per engine to ship to plant I and $50 per engine to ship to plant II. Plant I gives the manufacturing company $20 in rebates toward its products for each engine they buy, while plant II gives similar $15...
This problem demonstrates the concept of redundancy, the principle of improving reliability of systems by using...
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?...
To complete his degree a part time student needs to do three more subjects. assuming he...
To complete his degree a part time student needs to do three more subjects. assuming he can only take one subject per semester, and that he passes a subject with probability 0.85 independently of his past results, find the probability that he will need more than 2 but not more than 3 years to graduate?
For reasons not entirely clear, Doomsday Airlines books a daily shuttle service from Altoona to Hoboken. They offer two round-trip flights, one on a two-engine prop plane, the other on a four-engine prop plane. Suppose that each engine on each plane will fail independently with the same probability p and that each plane will arrive safely at its destination only if at least half its engines remain in working order. Assuming that you want to continue living, for what values...
For reasons not entirely clear, Doomsday Airlines books a daily shuttle service from Altoona to Hoboken. They offer two round-trip flights, one on a two-engine prop plane, the other on a four-engine prop plane. Suppose that each engine on each plane will fail independently with the same probability p and that each plane will arrive safely at its destination only if at least half its engines remain in working order. Assuming that you want to continue living, for what values...
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...
A manufacturing company receives orders for engines from two assembly plants. Plant I needs at least 45 engines, and plant II needs at least 32 engines. The company can send at most 140 engines to these assembly plants. It costs $35 per engine to ship to plant I and $50 per engine to ship to plant II. Plant I gives the manufacturing company $20 in rebates toward its products for each engine they buy, while plant II gives similar $...
A manufacturing company receives orders for engines from two assembly plants. Plant I needs at least 45 engines, and plant II needs at least 32 engines. The company can send at most 140 engines to these assembly plants. It costs $35 per engine to ship to plant I and $50 per engine to ship to plant II. Plant I gives the manufacturing company $20 in rebates toward its products for each engine they buy, while plant II gives similar $15...
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