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A fair coin is tossed 16 times. what is the mean number of heads?

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Answer:

The mean number of heads when a fair coin is tossed can be calculated using the expected value formula for a binomial distribution.

The expected value (mean) of a binomial distribution with parameters n (number of trials) and p (probability of success on each trial) is given by:

Expected Value (E[X]) = n * p

In this case:

n is the number of coin tosses, which is 16.

p is the probability of getting a head on each toss of a fair coin, which is 0.5 since there are two equally likely outcomes (head or tail).

Now, plug in these values into the formula:

E[X] = 16 * 0.5

E[X] = 8

So, the mean number of heads when a fair coin is tossed 16 times is 8.

Explanation:

User Justin Talbott
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