Question

find the probability using the normal distribution: ( p(z > -1.50) ). use the standard normal distribution table and enter the answer to 4 decimal places. ( p(z > -1.50) = )

Explanation:

Step1: Use the property of normal distribution

We know that \(P(Z > - 1.50)=1 - P(Z\leq - 1.50)\)

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

From the standard - normal distribution table (z - table), for \(z=-1.50\), the cumulative probability \(P(Z\leq - 1.50)\) is \(0.0668\)

Step3: Calculate the required probability

Substitute the value of \(P(Z\leq - 1.50)\) into the formula:
\(P(Z > - 1.50)=1 - 0.0668=0.9332\)

Answer:

\(0.9332\)