Question

The following histogram shows the probability of an experiment.



Which of the following is the best estimate of the probability of less than 4 successes for the experiment?

Question 8 options:

.73


.50


.25


.23

Answer 1

To estimate the probability of fewer than 4 successes based on a histogram, you would typically look at the sum of the probabilities for the bars that represent outcomes 0, 1, 2, and 3 successes.

However, since I cannot see the histogram you are referring to, I can guide you on how to determine the best estimate based on the options provided:

1. If you can see the heights of the bars corresponding to 0, 1, 2, and 3 successes, add those probabilities together to see if they align more closely with any of the provided choices.
2. If the histogram indicates that probabilities for 0 to 3 successes are significant while the probability for 4 successes and above is low, then the sum will likely be close to one of the provided options.

Here are some general thoughts based on typical trends:
- If the total probability of failures (0, 1, 2, and 3 successes) seems high, you might lean toward or select .73.
- If it seems moderate (where the probabilities might be around half), then .50 could be the answer.
- If the histogram shows most of the mass at 4 or more successes, .23 or .25 might be more fitting.

Without seeing the histogram, I recommend analyzing it to check where most of the probabilities are concentrated. Given standard shapes, you might expect a sum near .73 or .50 for fewer than 4 successes.

If you have access to the histogram data, summarize the probabilities for 0-3 successes, and see which option it aligns closely with.