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Question 1 For Z follows a standard normal distribution, Z ~ N(0, 1 2 ), find the following information: (a) Find the value of a,

Question 1 For Z follows a standard normal distribution, Z ~ N(0, 12), find the following information:

(a) Find the value of a, such that a is the 86th percentile of Z (i.e. P(Z < a) = 0.86).

(b) Find the value of c, such that P(-c < Z < c) = 0.786

(c) -0.44 is the pth percentile of Z, what is the value of p

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