a Let Z.Z, be iid N(0, 1). It can be shown that 2-x(1). (a) Let S = 4. Show that Sx"(n). (b) Since S in a sum of iid random variables, we can e the CLT to find a normal approximation to the distribution of S when a is large enough. Suppose n is. What is the nomal distribution that approximaten the distribution of S? (e) Consider the sample average of the 2 data, Y S/n1 4, fen 50. Find P(Y > 1.5) Eactly and appenimately via the CLT.

MATLAB: An Introduction with Applications
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a Let Z.Z, be iid N(0, 1). It can be shown that 2-x(1).
(a) Let S = 4. Show that Sx"(n).
(b) Since S in a sum of iid random variables, we can e the CLT to find a normal approximation
to the distribution of S when a is large enough. Suppose n is. What is the nomal distribution
that approximaten the distribution of S?
(e) Consider the sample average of the 2 data, Y S/n1 4, fen 50. Find P(Y > 1.5)
Eactly and appenimately via the CLT.
Transcribed Image Text:a Let Z.Z, be iid N(0, 1). It can be shown that 2-x(1). (a) Let S = 4. Show that Sx"(n). (b) Since S in a sum of iid random variables, we can e the CLT to find a normal approximation to the distribution of S when a is large enough. Suppose n is. What is the nomal distribution that approximaten the distribution of S? (e) Consider the sample average of the 2 data, Y S/n1 4, fen 50. Find P(Y > 1.5) Eactly and appenimately via the CLT.
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