Questions: There is an equally random chance of the coin flipping on either heads or tails. Assuming that the probability stays constant with every flip and that flips do not impact one another, what kind of sampling is this? (See 6.1: Random Sampling from our textbook)
Independent random sampling
Cluster sampling
Convenience sampling
Random sampling with replacement
SUBMIT
Transcript text: There is an equally random chance of the coin flipping on either heads or tails. Assuming that the probability stays constant with every flip and that flips do not impact one another, what kind of sampling is this? (See 6.1: Random Sampling from our textbook)
Independent random sampling
Cluster sampling
Convenience sampling
Random sampling with replacement
SUBMIT
Solution
Solution Steps
The question is asking about the type of sampling method used when each coin flip is independent and has an equal probability of resulting in heads or tails. This scenario describes a situation where each trial is independent and the probability remains constant, which is characteristic of random sampling with replacement.
Step 1: Understanding the Sampling Method
In the given scenario, each coin flip is independent, meaning the outcome of one flip does not affect the outcome of another. Additionally, the probability of flipping heads or tails remains constant at \( \frac{1}{2} \) for each flip.
Step 2: Identifying the Type of Sampling
Since each flip is independent and the probability remains constant, this scenario aligns with the definition of random sampling with replacement. In this method, each trial is treated as a separate event, and the outcomes can be repeated.
Final Answer
The answer is \\(\boxed{\text{Random sampling with replacement}}\\).