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Mathematics 16 Online
OpenStudy (daniiii2020):

Fan and medal!♥ Suppose 10% of the flights arriving at an airport arrive early, 60% arrive on time, and 30% arrive late. Valerie used the random-number table to find the experimental probability that of 5 flights, at least 2 will arrive late. The digit 0 represents flights arriving early. The digits 1, 2, 3, 4, 5, and 6 represent flights arriving on time. The digits 7, 8, and 9 represent flights arriving late. Find the experimental probability that of 5 flights, at least 2 will arrive late.

OpenStudy (daniiii2020):

Find the experimental probability that of 5 flights, at least 2 will arrive late.

OpenStudy (daniiii2020):

@Hero

OpenStudy (daniiii2020):

@jigglypuff314

OpenStudy (daniiii2020):

@nincompoop

OpenStudy (daniiii2020):

@jabez177

OpenStudy (daniiii2020):

@jabez177

OpenStudy (rivershinesdragon):

Okay, so experimental probability is the probability of a given event based upon experimental data. In other words, experimental probability needs an experiment. So let's give it one! Wait... to do this, is requires a random number table, thus acquirable from a Google search.

OpenStudy (rivershinesdragon):

http://stattrek.com/statistics/random-number-generator.aspx

OpenStudy (daniiii2020):

OpenStudy (rayep12):

2/5

OpenStudy (rivershinesdragon):

Okay, so let's see... We only need 5 numbers per experiment, so you got that table right.

OpenStudy (daniiii2020):

is not 2/5... I know that because that was my answer and I got it wrong... I'm doing corrections.

OpenStudy (rivershinesdragon):

So, if 1-6 are on time, and 7-9 are late, use this to translate each number on your table.

OpenStudy (daniiii2020):

The first block is this set of numbers 65926 it tells us that "The digits 7, 8, and 9 represent flights arriving late." The digits "6", "5", "2" and "6" are on time arrivals the only late flight is the one "9" that pops up in the middle So in the first block of 5 flights, there is only one late arrival

OpenStudy (daniiii2020):

right?

OpenStudy (rivershinesdragon):

You're on a roll! Now, translating that into math language, the probability of being on-time is 4/5. But, we don't have enough info yet. That's where the other boxes come in. Let's put that number on the side and keep going.

OpenStudy (daniiii2020):

move to the next block in the same row (row 1) 31459 it tells us that "The digits 7, 8, and 9 represent flights arriving late." The digits "6", "5", "2" and "6" are on time arrivals The only late flight is the one"9" so in the second block of 5 flights there is only one late arrival

OpenStudy (rivershinesdragon):

Yep! 4/5 again.

OpenStudy (rivershinesdragon):

Oh, shoot. It says, "Find the experimental probability that of 5 flights, at least 2 will arrive late." Oh well. The probability so far is 0. Why? Because we didn't get any where 2 or more people were late, right? Carry on. You don't have to message every individual box. Trust me, your fingers will fall of. ;p

OpenStudy (daniiii2020):

move to the next block in the same row (row 1) 31986 it tells us that "The digits 7, 8, and 9 represent flights arriving late." The digits "6", "5", "2" and "6" are on time arrivals The only late lights this time are "8" and the "9" so in the third block of 5 flights there are 2 late arrivals.

OpenStudy (daniiii2020):

@RiverShinesDragon

OpenStudy (rivershinesdragon):

Good! And that's the third block, right? This one's our only winner! And so, since we have 1 successful block out of 3 total blocks. the experimental probability that of 5 flights, at least 2 will arrive late is 1/3. But that's only so far.

OpenStudy (daniiii2020):

you want me to keep going?

OpenStudy (daniiii2020):

@RiverShinesDragon

OpenStudy (rivershinesdragon):

Yeah, but if you have a piece of paper, keep that with you, and write down the block results there instead of on here. Then, your fingers will be okay. ;p Then, based on what you know, tell me how many blocks are successful.

OpenStudy (daniiii2020):

lol, okay

OpenStudy (rivershinesdragon):

Also remember that a successful block is when 2 or more people are late.

OpenStudy (daniiii2020):

move to the next block in the same row (row 1) 65809 It tells us that "The digits 7, 8, and 9 represent flights arriving late." The digits "6", "5", "2" and "6" are on time arrivals The only late flights this time are "8" and the "9" So in the fourth block of 5 flights there are 2 late arrivals.

OpenStudy (rivershinesdragon):

So far, we have 2/4, or 1/2 because we have 2 successful blocks out of four total blocks.

OpenStudy (daniiii2020):

move to the next block in the same row (row 1) 80462 It tells us that "The digits 7, 8, and 9 represent flights arriving late." The digits "6", "5", "2" and "6" are on time arrivals The only late flight is the one”8” So in the fifth block of 5 flights there is only one late arrival.

OpenStudy (rivershinesdragon):

Okay, so now the probability is 2/5 because we have 2 successful blocks out of 5 total blocks.

OpenStudy (rivershinesdragon):

Sorry, gotta go. So far, you got this. I bet you can finish it with an A+.

OpenStudy (daniiii2020):

thank you

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