Find the mean of the probability distribution involving the random variable x that gives the number of heads that appear after tossing four coins once.

Question: Find the mean of the probability distribution involving the random variable x that gives the number of heads that appear after tossing four coins once.

The mean of the probability distribution involving the random variable x (the number of heads that appear after tossing four coins once) is 2.

This makes sense, because the expected number of heads is 2 (1/2 probability for each coin to land on heads) and the mean is the average of all the possible outcomes. If all four coins are tossed, there are 16 different possible outcomes, each having a probability of 1/16 to occur. The mean is calculated by adding up all the possible values for x and dividing by the total amount of possible outcomes. In this case, 1+2+3+4+5+6+7+8=36 and 36/16=2.

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