Question

Which situation demonstrates the law of large numbers ?

Answer 1

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-

$(24\times\frac{1}{6})+(30\times\frac{1}{2})+(36\times\frac{1}{3})$

=4 + 15 + 12 = $31

Hence, option C is correct.