Question

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 not fair. The dot plot shows that 4 of 10 beads drawn are often green. 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. In most of the experiments, considerably less than 40% of the selected are green.

Answer 1

D

Explanation:

Answer 2

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

Explanation:

Given

`Pr(Green) = 40\%`

See attachment for plots

Required

Is the number generator fair or not

From the number line, we have the following outcomes:

`0 \to 1`

`1 \to 1`

`2 \to 7`

`3 \to 2`

`8 \to 1`

Divide each outcome by 12, to get the proportion of green in each trial

`0 \to 1`
`\to 8.33\%`

`1 \to 1`
`\to 8.33\%`

`2 \to 7`
`\to 58.33\%`

`3 \to 2`
`\to 16.33\%`

`8 \to 1`
`\to 8.33\%`

The above shows that the proportion of green in most of the trial is less than 40%

Hence, the number generator is not fair.