6. Let V = E Vk where V1, V2,..., Vn are independent random variables and k=1...

Transcribed Image Text:

6. Let V = E" Vk where V1, V2,..., Vn are independent random variables and k=1 1 P(V = k) = P(V = -k) 2 k = 1,..., n. Assume that n = 4. (a) Find the moment-generating function of V. (We did n = 2 and n = 3 in class) (b) Use normal approximation to estimate P(V <-4). Remember to use continuity correction appropriately. (c) Use part (a) to find the exact probability P(V <-4). 6. Let V = E" Vk where V1, V2,..., Vn are independent random variables and k=1 1 P(V = k) = P(V = -k) 2 k = 1,..., n. Assume that n = 4. (a) Find the moment-generating function of V. (We did n = 2 and n = 3 in class) (b) Use normal approximation to estimate P(V <-4). Remember to use continuity correction appropriately. (c) Use part (a) to find the exact probability P(V <-4).