Calculate the following probabilities based on the story below. 1. Let's say that you are about to ip an unfair coin where the probability of heads is 0.7. Answer the following questions if you were to flip this coin 10 times. a. What is the probability that the FIRST heads is on the 3rd ip? b. What is the probability that the FIRST heads is on the 4"'1 flip? c. What is the probability that the FIRST heads is before the 3rd flip? d. What is the probability that the FIRST heads takes at most 3 flips? e. What is the probability that the 5'\" ip is heads? f. What is the probability that the FIRST heads happens in between the 2"El and 5"'1 flip? (not inclusive) g. What is the probability that when ipping the unfair coin 10 times, there are exactly 7 heads? Notice: This is not geometric distribution