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find the area under the standard normal distribution curve between ( z …

Question

find the area under the standard normal distribution curve between ( z = 0 ) and ( z = 0.50 ). use the standard normal distribution table and enter the answer to 4 decimal places. the area between the two ( z ) values is

Explanation:

Step1: Find the area for \(z = 0\)

The area to the left of \(z = 0\) is \(0.5\) (by property of standard normal distribution).

Step2: Find the area for \(z=0.50\)

Looking up \(z = 0.50\) in the standard - normal distribution table, the area to the left of \(z = 0.50\) is \(0.6915\).

Step3: Calculate the area between \(z = 0\) and \(z = 0.50\)

Subtract the two areas: \(A=0.6915 - 0.5\). So \(A = 0.1915\).

Answer:

0.1915