Question

© macmillan learning use a standard normal table to determine the probability. give your answer as a decimal to four decimal places. \\( p(z > 1.5) = \\)

Explanation:

Step1: Recall Z-table usage

A standard normal table gives \( P(Z \leq z) \). For \( P(Z > 1.5) \), use the complement rule: \( P(Z > z)=1 - P(Z \leq z) \).

Step2: Find \( P(Z \leq 1.5) \)

From the standard normal table, \( P(Z \leq 1.5)=0.9332 \).

Step3: Calculate \( P(Z > 1.5) \)

Substitute into the complement rule: \( 1 - 0.9332 = 0.0668 \).

Answer:

0.0668