Question

for a standard normal distribution, if p(z ≤ a)=0.7116, what is the value of p(z ≥ a)?
0.2116
0.2884
0.7116
0.7884

Explanation:

Step1: Recall probability property

The total probability under the standard - normal curve is 1, i.e., \(P(Z\leq a)+P(Z\geq a)=1\).

Step2: Solve for \(P(Z\geq a)\)

We know \(P(Z\leq a) = 0.7116\), so \(P(Z\geq a)=1 - P(Z\leq a)\).
Substitute \(P(Z\leq a)=0.7116\) into the formula: \(P(Z\geq a)=1 - 0.7116=0.2884\).

Answer:

B. 0.2884