Question

Once again, suppose you have a biased coin that comes up heads 3/4 of the time.

What is the expected value of the number of heads obtained in six flips?

Answer 1

The expected value of the number of heads obtained in six flips of a biased coin that comes up heads 3/4 of the time is 9.

Step-by-step explanation:

To determine the expected value of the number of heads obtained in six flips of a biased coin that comes up heads 3/4 of the time, we can use the formula:

Expected Value = (Number of Possible Outcomes) x (Probability of Outcome)

For each flip, there are two possible outcomes: heads or tails. So, for six flips, there are 2^6 = 64 possible outcomes. The probability of getting heads in each flip is 3/4, so the probability of getting heads in all six flips is (3/4)^6.

Therefore, the expected value of the number of heads obtained in six flips is 64 x (3/4)^6 = 9.