Suppose you have a bag of 10 coins. One is a weighted coin that has a 55% chance of landing on heads. The other 9 are fair coins that have have a 50% chance of landing on heads. 1. (a) I pull a coin out of the bag. I flip it n times and count the number of times it lands on heads. I test the null hypothesis that the probability of it landing on heads is 50%. I use an of = 0.06. What is the probability that you make a type 1 error? In other words, find P (Fair Coin Reject H0). 2. (b) Suppose n is 100. If you get the weighted coin, what is the probability that you will make a Type 2 error? 3. c) Suppose n is 100 and you have rejected H0. What is the probability that you have made a Type 1 error? 4. (d) How large would n have to be for the probability of making a Type 2 error, conditional on having received the weighted coin, to be less than 0.01