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Sever21 [200]
3 years ago
11

hat is the law of large numbers? As the sample size decreases, the relative frequency of outcomes gets closer to the theoretical

probability of the outcome. As the sample size increases, the cumulative frequency of outcomes gets closer to the theoretical probability of the outcome. As the sample size increases, the relative frequency of outcomes gets closer to the theoretical probability of the outcome. As the sample size increases, the relative frequency of outcomes moves further from the theoretical probability of the outcome.
Mathematics
1 answer:
uranmaximum [27]3 years ago
8 0

Answer:

C

Step-by-step explanation:

- In the long run, as the sample size increases and increases, the relative frequencies of outcomes get closer and closer to theoretical (or actual) probability value.

- The relative frequency of an event is defined as the number of times that the event occurs during experimental trials, divided by the total number of trials conducted.

- The relative frequency is not a theoretical quantity, but an experimental one. We have to repeat an experiment a number of times and count how many times the outcome of the trial is in the event set. Because it is experimental, it is possible to get a different relative frequency every time that we repeat an experiment.

- The relative frequency depends on the sequence of outcomes that we observe while doing a statistical experiment. The relative frequency can be different every time we redo the experiment. The more trials we run during an experiment, the closer the observed relative frequency of an event will get to the theoretical probability of the event.

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Step-by-step explanation:

We have the function:

y=a(x-2)(x-1)

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Notice that our function is a quadratic in factored form.

Remember that the minimum/maximum value always occurs at the vertex point.

And remember that the x-coordinate of the vertex is the axis of symmetry.

Since a quadratic is always symmetrical on both sides of its axis of symmetry, a quadratic’s axis of symmetry is the average of the two roots/zeros of the quadratic.

Therefore, the value x=d such that it produces the minimum/maximum value is the average of the two roots.

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Therefore, regardless of the value of <em>a</em>, the minimum/maximum value will occur at <em>x=d=1.5</em>.

Alternative Method:

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The x-coordinate of the vertex is still going to be the place where the minimum/maximum is going to occur.

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