About of the area under the curve of the standard normal di

About % of the area under the curve of the standard normal distribution is outside the interval z=[0.24,0.24] (or beyond 0.24 standard deviations of the mean).

Solution

Area beyond [-0.24, 0.24] is the probability -

P = P(Z < -0.24) + P(Z > 0.24)

As the Z-distribution is symmetric about Z=0, so we can write -

P = 2 x P(Z < -0.24)

So, P = 2 x 0.4052 = 0.8104.

About % of the area under the curve of the standard normal distribution is outside the interval z=[0.24,0.24] (or beyond 0.24 standard deviations of the mean).S

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