A "fair," "relatively thick" coin, when flipped, can show heads (H) or tails (T) with equal probabilities, but it is also probable to come to rest on its edge (E) with a probability of 4%.Showing your work, answer the following questions:

1.Set up a probability distribution table for the three possible events.

2.If the coin were flipped twice, what would be the probability that it would show heads the first time and would sit on its edge the second time?Provide a brief explanation to support your computation(s). Show the probability value in 4 decimal places.

3.If the coin is flipped 10 times, what is the probability that the coin would sit on its edge ("getting edge") at most twice?Showing your work, report the probability value in 4 decimal places.Treat the problem as a binomial experiment.

4.Determine the probability of getting tails between 4 to 8 times (both inclusive) when the coin is flipped 10 times.Showing your work, report the probability value in 4 decimal places.Treat the problem as a binomial experiment.

5.What is the probability of getting heads or tails at least once when the coin is flipped 10 times? Showing your work, report the probability value in 4 decimal places.Treat the problem as a binomial experiment.