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guajiro [1.7K]
3 years ago
7

Which of the following statements about the expected value of a random experiment is true? A. The expected value is the value yo

u will get after one trial. B. The expected value is the average of the values after 100 trials. C. As the number of trials gets larger, the average of the trials approaches the expected value. D. The expected value never actually equals the average of the trials.
Mathematics
2 answers:
Anna71 [15]3 years ago
8 0

Answer:

C. As the number of trials gets larger, the average of the trials approaches the expected value.

Step-by-step explanation:

The statement that is true would be that, as the number of trials gets larger, the average of the trials approaches the expected value. A certain random experiment can have a various number of trials, while the expected value is going to be the average of those trials. The more trials that an experiment has, the more data that can be gathered and the average can be better calculated. This average keeps getting closer and closer to the expected value as more trials are completed and the data keeps repeating certain values.

Tom [10]3 years ago
3 0

Answer: C

Step-by-step explanation: As the number of trials gets larger the average of the trials approaches the expected value

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App 19.study
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Answer:

1 \to 22 \to 0.176

2 \to 13 \to 0.104

3 \to 18 \to 0.144

4 \to 29 \to 0.232

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6 \to 6 \to 0.048

Step-by-step explanation:

Given

n = 125

See attachment for proper table

Required

Complete the table

Experimental probability is calculated as:

Pr = \frac{Frequency}{n}

We use the above formula when the frequency is known.

For result of roll 2, 4 and 6

The frequencies are 13, 29 and 6, respectively

So, we have:

Pr(2) = \frac{13}{125} = 0.104

Pr(4) = \frac{29}{125} = 0.232

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When the frequency is to be calculated, we use:

Pr = \frac{Frequency}{n}

Frequency = n * Pr

For result of roll 3 and 5

The probabilities are 0.144 and 0.296, respectively

So, we have:

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Frequency(5) = 125 * 0.296 = 37

For roll of 1 where the frequency and the probability are not known, we use:

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So:

Frequency(1) added to others must equal 125

This gives:

Frequency(1) + 13 + 18 + 29 + 37 + 6 = 125

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Collect like terms

Frequency(1) =- 103 + 125

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The probability is then calculated as:

Pr(1) = \frac{22}{125}

Pr(1) = 0.176

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1 \to 22 \to 0.176

2 \to 13 \to 0.104

3 \to 18 \to 0.144

4 \to 29 \to 0.232

5 \to 37 \to 0.296

6 \to 6 \to 0.048

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