my problem is Let X be a random variable with pmf pk = c/k^2 for k = 1, 2, ....
a.) estimate the value of c numerically.
b) find P[X > 4]
c) find P[6 <= X <= 8]
i'm thinking that i need to do the summation from k=1 to infinite of c/k^2. And i think i can pull out the c and just make it c * the summation of k=1 to infinite of 1/k^2. I then get 1.64493c as the answer for a. I'm not sure what to do for part b or c. any help would be much appreciated.
thanks man. can you briefly explain why you solve it like that? i'm having trouble understanding some basic things in this class. I haven't had statistics in about 4 years so i forget a lot of things.