Question

The following histogram shows the probability of a binomial experiment.



Which of the following is the best estimate of the probability of at least 8 successes for the experiment?

Question 3 options:

.54


.34


.27


.81

Answer 1

To estimate the probability of at least 8 successes in a binomial experiment using a histogram, you would typically look at the bars that represent the probabilities of obtaining 8 or more successes.

Since I can't see the histogram you're referring to, I can offer a general approach for solving this type of problem:

1. **Identify the relevant bars**: Look for histogram bars that indicate the probabilities of getting 8, 9, or more successes.

2. **Sum the probabilities**: Add together the probabilities from those bars to find the total probability of achieving at least 8 successes.

3. **Compare results to the options**: Once you have the total probability, you can compare it to the given options to select the best estimate.

If the histogram shows, for example, probabilities of 0.13 for 8 successes, 0.10 for 9 successes, and 0.04 for 10 successes, you would add those probabilities:
- Probability of at least 8 successes = P(8) + P(9) + P(10) = 0.13 + 0.10 + 0.04 = 0.27.

You then would choose the answer that most closely matches your calculated probability.

Based on the options you provided (.54, .34, .27, .81), if your calculated probability is 0.27, then you would select that option.

Please use the specific probabilities from your histogram to find the answer. If you need more help with the specific numbers, let me know!