Question

fill in the blank 1 point
the area to the right of ( z = 1.44 ) under the standard normal curve is (round to four decimal places as needed.)

Explanation:

Step1: Use the standard normal distribution property

The total area under the standard normal curve is \(1\). The area to the left of \(z = 1.44\) can be found using the standard normal table (or \(z\)-table).

Step2: Find the area to the left of \(z = 1.44\)

Looking up \(z = 1.44\) in the standard normal table, the area to the left of \(z=1.44\) is \(P(Z\leq1.44)=0.9251\)

Step3: Calculate the area to the right of \(z = 1.44\)

Since the total area is \(1\), the area to the right of \(z = 1.44\) is \(P(Z > 1.44)=1 - P(Z\leq1.44)\)
Substitute \(P(Z\leq1.44) = 0.9251\) into the formula: \(1-0.9251=0.0749\)

Answer:

\(0.0749\)