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: