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CA Foundation P3 · Chapter 16 · Question 6 of 9

X is normally distributed with mean 60 and standard deviation 10. Given that the area under the standard normal curve from z = 0 to z = 1.5 is 0.4332, P(X > 75) is:

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Reveal answer & explanation

Correct answer: C) 0.0668

Explanation

z = (75 − 60)/10 = 1.5. P(X > 75) = P(Z > 1.5) = 0.5 − 0.4332 = 0.0668. 0.9332 is P(Z < 1.5), and 0.1336 is the two-tailed area P(|Z| > 1.5).

All 9 questions in Chapter 16Theoretical Distributions MCQs with answers

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