Question

estimate the area percentage under a normal curve to the right of a z - score of 0.35. (1 point)
36.32
36.43
35.20
34.58

Explanation:

Step1: Find the cumulative probability for \(z = 0.35\)

Using the standard normal distribution table (or \(z\)-table), for \(z=0.35\), the cumulative probability \(P(Z\leq0.35)\) is \(0.6368\).

Step2: Calculate the area to the right

The total area under the normal curve is \(1\). The area to the right of \(z = 0.35\) is \(P(Z>0.35)=1 - P(Z\leq0.35)\).
Substitute \(P(Z\leq0.35) = 0.6368\) into the formula: \(P(Z>0.35)=1 - 0.6368=0.3632\).
Converting \(0.3632\) to a percentage gives \(36.32\%\).

Answer:

\(36.32\) (assuming the first option \(36.32\) is the correct one among the given choices)