Question

Drew has a bag of balloons that he is going to inflate for a party. He chooses a balloon from the bag, writes down the color, and places it back in the bag. He repeats this 80 times.

Drew calculates the relative frequency of each color balloon.

Outcome Purple Orange Yellow Green Blue
Relative frequency 0.09 0.13 0.11 0.25 0.43
Which statement about Drew's experiment is true?

The outcomes appear to be equally likely, so a uniform probability model is a good model to represent probabilities in Drew's experiment.

The outcomes do not appear to be equally likely, so a uniform probability model is a good model to represent probabilities in Drew's experiment.

The outcomes appear to be equally likely, so a uniform probability model is not a good model to represent probabilities in Drew's experiment.

The outcomes do not appear to be equally likely, so a uniform probability model is not a good model to represent probabilities in Drew's experiment.

Answer 1

Using the concept of the uniform distribution, it is found that the correct option is given by:

The outcomes do not appear to be equally likely, so a uniform probability model is not a good model to represent probabilities in Drew's experiment.

When should the uniform distribution be used?

The uniform distribution should be used when each outcome is equally as likely.

In this problem, from the table given, green and blue balloons are considerably more likely than purple, orange or yellow balloons, that is, the probabilities are not uniform, hence the correct option is given by:

The outcomes do not appear to be equally likely, so a uniform probability model is not a good model to represent probabilities in Drew's experiment.

More can be learned about the uniform distribution at https://brainly.com/question/13889040

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