Question

b) list the given numbers with correct symbols. ? < = 17 ? < = 0.11 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

Explanation:

Step1: Recall binomial experiment criteria

A binomial experiment has: fixed number of trials ($n$), two - outcomes per trial, constant probability of success ($p$) for each trial, and independent trials.

Step2: Analyze the given situation

We are considering the selection of people and checking if they are left - handed. The probability $p = 0.11$ (11%) of a person being left - handed is constant. Each person's handedness is independent of others. There are two outcomes (left - handed or not left - handed).

Step3: Evaluate each statement

• "There is not a fixed number of people": False, we can assume a fixed number of people are selected for the experiment.
• "There are only two outcomes for each person": True, left - handed or not left - handed.
• "There are more than two outcomes for each person": False.
• "There are a fixed number of people, 17": We can have a fixed number of trials, and 17 could be that number.
• "Whether or not one randomly selected person is left - handed will not affect whether or not another": True, since the events are independent.
• "Whether or not one randomly selected person is left - handed will affect whether or not another": False.

Answer:

• There are only two outcomes for each person.
• There are a fixed number of people, 17.
• Whether or not one randomly selected person is left - handed will not affect whether or not another.
• $p = 0.11$