Ask a New Question
Menu

The sample space of an experiment is S={1, 2, 3, 4, 5}

. If each outcome is equally likely to occur, which graph models the expected probability of each outcome?(1 point)
Responses

A bar chart is titled: Probability Model for Selecting a Number from left bracket 1 comma 2 comma 3 comma 4 comma 5 right bracket. The x-axis shows outcomes and y-axis shows probability from 0 to 0.25 in increments of 0.05.
Image with alt text: A bar chart is titled: Probability Model for Selecting a Number from left bracket 1 comma 2 comma 3 comma 4 comma 5 right bracket. The x-axis shows outcomes and y-axis shows probability from 0 to 0.25 in increments of 0.05.

A bar chart is titled: Probability Model for Selecting a Number from left bracket 1 comma 2 comma 3 comma 4 comma 5 right bracket. The x-axis shows outcomes and y-axis shows probability from 0 to 2.5 in increments of 0.5.
Image with alt text: A bar chart is titled: Probability Model for Selecting a Number from left bracket 1 comma 2 comma 3 comma 4 comma 5 right bracket. The x-axis shows outcomes and y-axis shows probability from 0 to 2.5 in increments of 0.5.

A bar chart is titled: Probability Model for Selecting a Number from left bracket 1 comma 2 comma 3 comma 4 comma 5 right bracket. The x-axis shows outcomes and y-axis shows probability from 0 to 6 in increments of 1.
Image with alt text: A bar chart is titled: Probability Model for Selecting a Number from left bracket 1 comma 2 comma 3 comma 4 comma 5 right bracket. The x-axis shows outcomes and y-axis shows probability from 0 to 6 in increments of 1.

A bar chart is titled: Probability Model for Selecting a Number from left bracket 1 comma 2 comma 3 comma 4 comma 5 right bracket. The x-axis shows outcomes and y-axis shows probability from 0 to 0.12 in increments of 0.02.

1 answer

To determine the correct graph for the expected probability of each outcome in the sample space S = {1, 2, 3, 4, 5}, we first calculate the probability of each outcome. Since there are 5 equally likely outcomes, the probability of each outcome (1, 2, 3, 4, or 5) is:

\[ P(\text{each outcome}) = \frac{1}{\text{total outcomes}} = \frac{1}{5} = 0.20 \]

This means each outcome has a probability of 0.20.

Now, let's examine the provided options based on the appropriate y-axis values, which should range from 0 to a maximum that includes 0.20:

  1. First Bar Chart: The y-axis ranges from 0 to 0.25 in increments of 0.05. This chart correctly includes the probability of 0.20.
  2. Second Bar Chart: The y-axis ranges from 0 to 2.5 in increments of 0.5. This chart is not appropriate because the probabilities exceed 1.
  3. Third Bar Chart: The y-axis ranges from 0 to 6 in increments of 1. This chart is also not appropriate for probabilities.
  4. Fourth Bar Chart: The y-axis ranges from 0 to 0.12 in increments of 0.02. This chart does not include the probability of 0.20.

Based on this analysis, the correct graph that models the expected probability of each outcome is the first bar chart, which ranges from 0 to 0.25.