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Vaselesa [24]
4 years ago
7

Air-USA has a policy of booking as many as 24 persons on an airplane that can seat only 22. (Past studies have revealed that onl

y 86% of the booked passengers actually arrive for the flight.) Find the probability that if Air-USA books 24 persons, not enough seats will be available. prob = Is this probability low enough so that overbooking problems will be unusual? (Define unusual as having probability 5% or less) yes, it is low enough no, it is not low enough What about defining unusual as 10% or less? no, it is not low enough yes, it is low enough
Mathematics
1 answer:
lakkis [162]4 years ago
4 0

Answer:

The total probability is 13.15%

Step-by-step explanation:

Consider the provided information.

Air-USA has a policy of booking as many as 24 persons on an airplane that can seat only 22.

Studies have revealed that only 86% of the booked passengers actually arrive for the flight.

Therefore, the probability of a person arrive is 0.86

Find the probability that if Air-USA books 24 persons, not enough seats will be available.

That means either 23 person arrive or 24 person arrive.

Probability that 23 persons arrive = ^{24}C_{23}(0.86)^{23}(0.14)=0.1047

Probability all 24 person arrive = (0.86)^{24}=0.0268

Total probability is: 0.1047+0.0268=0.1315

Hence the total probability is 13.15%

So, in both cases its not low enough

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3 years ago
Can u guys please help me I tried it and they said that I was wrong plz help me :(
Ede4ka [16]

Your answer would be 0.87 as a decimal and 87/100 as a fraction.

To find these we need to find out how many little squares there are in total, and then how many shaded squares there are.

The shape is 10 squares by 10 squares, which means in total there are 10 × 10 = 100 squares in the whole shape.

To find the number of shaded squares we can count how many aren't shaded and subtract this from 100, and by doing this we get that there are 13 unshaded squares. 100 - 13 = 87 squares.

To convert this into a fraction, we can write it as \frac{shaded squares}{total squares} , which we know is 87/100, which can't be simplified any further.

To convert this into a decimal, we can simply do the division 87 ÷ 100 (which is what the fraction represents), and this gives us 0.87

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6 0
4 years ago
6. Dana measured the height of her
jeka57 [31]

Answer:

9 feet, 108 inches, 274.32 cm, 2.7432 meters

Step-by-step explanation:

Not enough information is given to answer.

You didn't provide the list of "these" to choose from, but I can just list some potential answers I could see being an option.

3 yards = 9 feet [1 yard = 3 feet. 3 yards = 9 feet]

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Step-by-step explanation:

<u>The Number Line</u>

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