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You flip 3 coins 20 times and record the number of heads. The results are listed below. 2, 1, 0, 2, 2, 0, 2, 2, 3, 2, 1, 2, 1, 2, 1, 1, 2, 1, 3, 1 Complete the frequency table. a = ; b = ; c = ; d = Based on these results, which of these statements are true? You would expect to get 0 heads and 3 heads about the same number of times. You would expect to get 1 head and 2 heads about the same number of times. This would be a good experiment to use to find the probability that a family has a dog or a cat. This would be a good experiment to use to find the probability that a family with 3 kids has 1 boy.

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absor201

Answer:

You would expect to get 0 heads and 3 heads about the same number of times

This would be a good experiment to use to find the probability that a family with 3 kids has 1 boy

Step-by-step explanation:

Step 1: Construct a frequency table

Number of heads                Tally mark                Frequency

        0                                   II                                      2

        1                                    IIIII II                                7

        2                                   IIIII III                               8

        3                                   II                                      2

Step 2 : Check the statements

You would expect to get 0 heads and 3 heads about the same number of times-True because the frequency of 0 heads is 2 and the frequency of 3 heads is also 2.

You would expect to get 1 head and 2 heads about the same number of times-False because the frequency of getting 1 heads is 7 whereas the frequency of getting 2 heads is 8.

This would be a good experiment to use to find the probability that a family has a dog or a cat-False because the experiment done above has 3 objects (3 coins) whereas this experiment has just 2 objects (cat and dog).

This would be a good experiment to use to find the probability that a family with 3 kids has 1 boy-True because both experiments have 3 objects and just like we found the frequency of getting 1 heads, we can find the frequency of getting 1 boy out of 3 kids.

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fichoh

The true statements about the result of the coin toss experiment described are :

  • You would expect to get 0 heads and 3 heads about the same number of times.

  • You would expect to get 1 head and 2 heads about the same number of times

Number of heads :__0 __ 1 __ 2 __ 3

Frequency _____ :_ 2___7___9___2

  • Expected Number of 0 heads = 2

  • Expected Number of 3 heads = 2

  • Expected Number of 1 head = 7

  • Expected Number of 3 heads = 9

Therefore, expected Number of 3 and 0 heads are the same. And the expected number of 1 and 2 heads are almost the same.

The experiment cannot be used to model the events in the options as it only gives the number of occurence of a single event.

Hence, only statements 1 and 2 are true.

Learn more : https://brainly.com/question/18405415

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