To determine which histogram correctly displays the distribution, we need to carefully analyze the given table of probabilities for the number of tickets.
The probabilities for each number of tickets are:
- 1 ticket: 0.17
- 2 tickets: 0.55
- 3 tickets: 0.20
- 4 tickets: 0.06
- 5 tickets: 0.02
Based on this data, the histogram should represent the probabilities on the vertical axis (y-axis) and the number of tickets on the horizontal axis (x-axis).
Here’s the step-by-step breakdown of what the histogram should look like:
1. X-Axis (Horizontal Axis): This axis should indicate the number of tickets, which are 1, 2, 3, 4, and 5.
2. Y-Axis (Vertical Axis): This axis should indicate the probabilities. Since the probabilities range from 0.02 to 0.55, the y-axis should be labeled accordingly, probably from 0 to 0.6 for better clarity.
3. Bars: Each number of tickets should have a bar extending up to its corresponding probability. The heights of the bars need to reflect the following values:
- The bar for 1 ticket should extend up to 0.17.
- The bar for 2 tickets should extend up to 0.55.
- The bar for 3 tickets should extend up to 0.20.
- The bar for 4 tickets should extend up to 0.06.
- The bar for 5 tickets should extend up to 0.02.
Based on this description:
- You should see the tallest bar at number 2, reaching up to 0.55.
- The second tallest bar will be at number 3, reaching up to 0.20.
- The bar for 1 will be between 3's bar and 4's bar in height, reaching up to 0.17.
- The bar for 4 will be shorter, reaching up to 0.06.
- The shortest bar will be for 5 tickets, reaching up to 0.02.
To identify the correct histogram, look for one that displays these distinct heights accurately in relation to the respective numbers of tickets. Ensure that the proportions reflect the given probabilities directly.
