Which situation demonstrates the law of large numbers ?
1 answer:
The law of large numbers in probability, is a theorem that describes the result of performing the same experiment a large number of times because the average of the results obtained from a large number of trials is close enough to the expected value.
So, according to this definition and the situation given , the correct answer is option B - if 800 people are randomly surveyed about the TV shows they watch, about 400 of them will be women; because there are larger number of experiment.
Part B:
To get the expected value of a t-shirt we will multiply each of the 3 prices by the associated probability, and then add up these three products-
=4 + 15 + 12 = $31
Hence, option C is correct.
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Answer:
approximately 8.5
Step-by-step explanation:
So you can use the distance formula: which is derived from the Pythagorean theorem because normally x2-x1 would kind of give the distance length between x2 and x1 except sometimes it would be negative which wouldn't make much sense right? but it doesn't matter because it's being squared so the value ultimately becomes positive, and the same thing goes for the y-value. the distance between x2 - x1 really represents the base and y2-y1 represents the height and then adding them together gives the hypotenuse squared which is why you take the square root over the entire thing to find the distance, since the hypotenuse is the shortest distance between two points
Now all you have to do is plug the values in to get