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6 June, 03:13

A jar contains black beads and green beads. Forty percent of the beads in the jar are green. A number generator simulates randomly selecting 10 beads from the jar. The number generator is used 12 times and the number of green beads in each trial is shown in the dot plot.

Which description is correct about the number generator being fair or not?

The number generator is fair. The dot plot shows a distribution that is skewed right.

The number generator is fair. It shows that 40% of the beads selected are green most of the time.

The number generator is not fair. The dot plot shows that 4 of 10 beads drawn are often green.

The number generator is not fair. In most of the experiments, considerably less than 40% of the selected are green.

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  1. 6 June, 04:50
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    The correct option is (D) The number generator is not fair. In most of the experiments, considerably less than 40% of the selected are green.

    Step-by-step explanation:

    The correct option is (d) The number generator is not fair. In most of the experiments, considerably less than 40% of the selected are green.

    Step-by-step explanation:

    Solution

    In this example, 40% of the beads are green, the number generator is not fair. so the option B is ruled out.

    Also, the option C is ruled out

    Now,

    If we Consider the option A, The sum of the total number of green beads in all experiments

    Which is,

    12*4 = 48. But the total number of green beads is only 12. That's why, even when the graph is skewed, the generator is not fair. So, the option A is also ruled out.

    Thus,

    As the number generator is not fair, and in most experiments, less than 4 green beads are selected. the option D is the correct option.
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