For flights from a particular airport in January, there is a 30 percent chance of a flight being delayed because of icy weather.
If a flight is delayed because of icy weather, there is a 10 percent chance the flight will also be delayed because of a mechanical problem. If a flight is not delayed because of icy weather, there is a 5 percent chance that it will be delayed because of a mechanical problem. If one flight is selected at random from the airport in January, what is the probability that the flight selected will have at least one of the two types of delays?
1 answer:
Answer:
0.335
Step-by-step explanation:
1. There is a 30 percent chance of a flight being delayed because of icy weather ,then the probability of being delayed is 0.3 and of being not delayed is 0.7.
2. If a flight is delayed because of icy weather, there is a 10 percent chance the flight will also be delayed because of a mechanical problem, then the probability of being delayed is 0.1 and the probabilty of not being delayed is 0.9.
3. If a flight is not delayed because of icy weather, there is a 5 percent chance that it will be delayed because of a mechanical problem (MP), then the probability of being delayed is 0.05 and the probabilty of not being delayed is 0.95. (See attached probability tree)
Delayed of icy weather - 0.3
Delayed of MP when weather is not icy - 0.7·0.05=0.035
Now, if one flight is selected at random from the airport in January, the probability that the flight selected will have at least one of the two types of delays is
0.3+0.035=0.335
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<h2>Steps</h2>
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<u>In short, the length of one leg of the triangle is 9√2 cm.</u>
Answer:
<em>The probability is 42%</em>
Step-by-step explanation:
<u>Conditional Probability</u>
It's the probability of the occurrence of an event B knowing that an event A has already occurred and A and B are related (not independent).
If P(A) is the probability of occurrence of A, is the probability of both events to occur, and P(B|A) is the required probability occurrence of B:
We know a high school marching band has 125 members, from which 41 are seniors (event B), 24 play the trumpet (event A), and 10 are seniors who play the trumpet.
The probability that a randomly selected band member plays the trumpet is
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The probability is 42%