Question

find the indicated probability using the standard normal distribution. p(z > 0.356) p(z > 0.356) = (round to four decimal places as needed.)

Explanation:

Step1: Use the property of standard normal distribution

We know that for a standard normal variable \(z\), \(P(z > a)=1 - P(z\leq a)\)

Here \(a = 0.356\).

Step2: Look up the value in the standard - normal table

Using a standard - normal table (or a calculator with a normal - distribution function, for example, in Excel: NORM.S.DIST(0.356, TRUE)), we find that \(P(z\leq0.356)\approx0.6390\)

Step3: Calculate \(P(z > 0.356)\)

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Answer:

\(0.3610\)