Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

which of the following is the correct interpretation of the mean? selec…

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

Explanation:

Brief Explanations

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.

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