Question

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

Explanation:

Step1: Recall Z - table usage

To find \( P(Z\leq1.5) \), we use the standard normal (Z - table). The Z - table gives the cumulative probability for a given Z - score. For a Z - score of \( z = 1.5 \), we look up the value in the standard normal table.

Step2: Look up Z - score in table

The standard normal table (or Z - table) is structured such that the rows represent the first two digits of the Z - score (including the tenths place) and the columns represent the hundredths place. For \( z=1.50 \) (since \( 1.5 = 1.50 \)), we look at the row for \( 1.5 \) and the column for \( 0.00 \). The value in the Z - table for \( z = 1.50 \) is \( 0.9332 \). This value represents the cumulative probability that a standard normal variable \( Z \) is less than or equal to \( 1.5 \).

Answer:

\( 0.9332 \)