Please help the answer, it's statistic problems

1. Suppose we ip a coin 600 times and we want to test whether the coin is fair. If the coin is fair, the probability of getting a head should be equal to the probability of getting a tail. Denote X-- 1, ifttisaheadintheithflip '_ 0, ifz'tisataz'lz'ntheithflip (a) Denote 7 = 2600 Xi. Write down the null hypothesis. 1,: (b) Suppose the signicant level a = 0.05. Given X = 350, can you reject the null hypothesis? Show your work. 2. Let {X1,X2, ..., X N} be a random sample obtained from a population X with p.d.f 2:12, 0