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# Probability based on binomial probability

Binomial Distribution

1. State a question that can be answered in a "binomial" manner, such as Do you normally read the front page of a newspaper at least 4 times a week? (yes or no).
Determine ahead of time whether answers should be recorded or counted as a "yes " or "no".

2. Take a survey. Ask 22 individuals to respond to your question and record their response in tabular form. From your sample, state the probability of a person answering "yes" (a p value) and the probability of a person answering "no" (a q value).

3. Based on your sample, calculate/predict the mean and standard deviation of those answering "yes" in samples of size 100. Show your computations.

4. Based on your sample, find the probability of exactly 7 out of 22 answering "yes".

5. Interpret your results. State any implications which you draw from your statistics.

List and discuss any assumptions, collection methods, or sampling criteria in your report. Describe the population (if any) that your sample was drawn from. Was your sample random? Does it provide a meaningful/unbiased representation of the population you described earlier? Can any inferences be made about other populations?

#### Solution Summary

The solution provides step by step method for the calculation of probability based on binomial probability . Formula for the calculation and Interpretations of the results are also included.

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