Question

a fair coin is flipped three times, and the number of times it comes up heads is recorded. have the conditions for a binomial setting been met for this scenario? no, this is a fair coin. yes, all four conditions in bins have been met. no, the coin flips are not independent of one another. no, the coin needs to be flipped until heads appears. the number of trials needed to get heads should be recorded

Explanation:

Let's check the BINS (Binary, Independent, Number, Success - probability) conditions:

• Binary: There are only two outcomes (heads or tails) for each coin flip.
• Independent: The outcome of one coin flip does not affect the outcome of another coin flip.
• Number: The number of trials \(n = 3\) is fixed.
• Success - probability: The probability of getting heads \(p=\frac{1}{2}\) is constant for each trial.

Since all four BINS conditions are met.

Answer:

Yes, all four conditions in BINS have been met.