Question

For a standard normal distribution, find c if

P(z > c) = 0.447

c=

Answer 1

For a standard normal distribution,

find c if

P(z > c) = 0.447

c = ?

P(z > c) = 0.447 which is same as P ( z <= c) = 1 – 0.447 = 0.553

the standard normal distribution, with parameters:

μ = 0 ,     σ = 1

We need to find a z-score c so that the corresponding cumulative normal probability is equal to 0.553.

Mathematically, c is such that:

Pr ( z ≤ c ) = 0.553

The corresponding z score so that the cumulative standard normal probability distribution is 0.553 is

z_c = 0.133 [standard normal table]

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