(a) If Z~N(0, 1), find the value of k if P(Z > k) = 0.3015. If X~N(50, 102), find the probability P(45 < X < 62). (c) If X N (24, 32), P(X> a) = 0.974, find the value of a. (b)

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(a)
(b)
(c)
If Z~N(0, 1), find the value of k if P(Z > k) = 0.3015.
If X~N(50, 10²), find the probability P(45 < X < 62).
If X~N(24, 32), P(X> a) = 0.974, find the value of a.
Transcribed Image Text:(a) (b) (c) If Z~N(0, 1), find the value of k if P(Z > k) = 0.3015. If X~N(50, 10²), find the probability P(45 < X < 62). If X~N(24, 32), P(X> a) = 0.974, find the value of a.
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