Question: For a normal distribution, show that (a) The upper quartile equals + 0.67. (b) According to the 1.5(IQR) criterion, an outlier is an observation

For a normal distribution, show that

(a) The upper quartile equals μ + 0.67σ.

(b) According to the 1.5(IQR) criterion, an outlier is an observation falling more than 2.7 standard deviations below or above the mean, and this happens for only 0.7% of the data.

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