If Z follows an N(0, 1). a) Show that P(3 Z 3) = 0.9997. b)

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If Z follows an N(0, 1).
a) Show that P(−3 ≤ Z ≤ 3) = 0.9997.
b) Find P(−2 < Z < 2).
c) Find P(−1 < Z < 1).
d) Find P(−0.75 < Z < 0.75).

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