5. (a) Given that X is normally distributed with mean 10 and P(X > 12) = 0.1587. What is the probability that X will fall in the interval (9, 11)? You are given; (1) = 0.8413 and +(-) = 0.3085, where (z) = P(-00 < Z< z)such that Z-N(0,1).

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5. (a) Given that X is normally distributed with mean 10 and P(X > 12) =
0.1587. What is the probability that X will fall in the interval (9, 11)? You
are given; 4(1) = 0.8413 and +(-;) = 0.3085, where (z) =
P(-0 < Z < z)such that Z~N(0,1).
Transcribed Image Text:5. (a) Given that X is normally distributed with mean 10 and P(X > 12) = 0.1587. What is the probability that X will fall in the interval (9, 11)? You are given; 4(1) = 0.8413 and +(-;) = 0.3085, where (z) = P(-0 < Z < z)such that Z~N(0,1).
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