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let x1 x2 x3 x4 be random sample from the population that satisfies an binomial distribution with n = 3 and p = 1/4

a) Find the mean and variance for Sum Y = x1 + x2 + x3 + x4.

b) Find the mean and variance for W = 2x1 - 3x2 - 2x4.

I am trying to solve it and I was just wondering if I was going the right way I found the C.D.F for binomial distribution for n = 3 p = 1/4 with lower bound being 1 and upper being 4. Which is .57 and I got the variance to be (.57)^2. Am I correct ? And for part B I am completely lost can someone please either confirm my answer or explain to me the steps to solving this problem. Thank you for your help :)

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