Question

c) explain why this is a binomial experiment. check all that apply. p = 11% remains constant from one randomly selected person to another there is not a fixed number of people there are only two outcomes for each person there are more than two outcomes for each person there are a fixed number of people, 17 whether or not one randomly selected person is left - handed will affect whether or not another randomly selected person is left - handed whether or not one randomly selected person is left - handed will not affect whether or not another randomly selected person is left - handed find the probability, to 4 decimal places:

Explanation:

Step1: Recall binomial experiment criteria

A binomial experiment has the following properties: fixed number of trials, two - outcomes per trial, constant probability of success, and independent trials.

Step2: Analyze the given situation

1. Fixed number of people: There is no fixed number of people mentioned in the general description of the binomial - like situation here. But if we assume a sample of people is being considered, we can think of the number of people in the sample as the number of trials.
2. Two outcomes: For each person, there are only two outcomes - left - handed or not left - handed.
3. Constant probability: The probability \(p = 0.11\) of a randomly selected person being left - handed remains constant from one person to another.
4. Independent trials: Whether one randomly selected person is left - handed does not affect whether another randomly selected person is left - handed.

Answer:

Whether or not one randomly selected person is left - handed does not affect whether or not another randomly selected person is left - handed; There are only two outcomes for each person; \(p = 11\%\) remains constant from one randomly selected person to another.