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Question
which of the following is the correct interpretation of the mean? select an answer if you flip a coin 3 times over and over, you can expect to get an average of 1.5 heads for every 3 flips. every time you flip a coin 3 times you will get heads most of the time. every time you flip a coin 3 times you will get 1.5 heads
The mean of a probability - distribution represents the long - term average value. When flipping a coin 3 times repeatedly, the expected number of heads is calculated as $n\times p$, where $n = 3$ (number of trials) and $p=0.5$ (probability of getting a head in a single coin - flip), so $3\times0.5 = 1.5$. This means on average, over many repetitions of 3 coin - flips, we expect 1.5 heads per set of 3 flips. The second option is incorrect because getting heads most of the time is not what the mean represents. The third option is incorrect because we can't get 1.5 heads in a single set of 3 flips as the number of heads is a discrete variable.
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If you flip a coin 3 times over and over, you can expect to get an average of 1.5 heads for every 3 flips