Mathematics, 03.02.2020 22:55, rockinrachel9099

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?

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answered: katelynbychurch

The probability that the flight selected will have at least one of the two types of delays is 0.335 .

1. There is a % chance of a flight being delayed because of icy weather, $\therefore$ probability of being delayed is P(a)=0.3

probability of not being delayed is P(a')=1-0.3=0.7 .

2. If a flight is delayed because of icy weather, there is % chance the flight will also be delayed because of a mechanical problem,

$\therefore$ probability of being delayed is P(b)=0.1

probability of not being delayed is P(b')=1-0.1=0.9 .

3. If a flight is not delayed because of icy weather, there is % chance that it will be delayed because of a mechanical problem ,

$\therefore$ probability of being delayed is P(c)=0.05

probability of not being delayed is P(c')=1-0.05=0.95 .

Delayed of mechanical problem when weather is not icy is:

$P(a'\cap c)=P(a').P(c)=0.7\times 0.05=0.035$

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

$P(a'\cap c)+P(a)=0.035+0.3=0.335$

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For flights from a particular airport in january, there is a 30 percent chance of a flight being del

answered: Hernandezx9824

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

answered: Guest

step-by-step explanation:

because 1/3 is a fraction. we can tell because there is a divisor symbol between the 1 and the 3. if we were to add 2 fractions together, we would add the numerators, which is the number on top, but not the denominators, which is the number on the bottom

1/3+1/3=2/3

hope this !

answered: Guest

66.666666667%

step-by-step explanation:

divide 150 by 100

divide 100 by 1.5

there you go!

decreased by 33.333333334%