Question

find the indicated probability using the standard normal distribution. p(-0.67 < z < 0) click here to view page 1 of the standard normal table click here to view page 2 of the standard normal table p(-0.67 < z < 0)= (round to four decimal places as needed.)

Explanation:

Step1: Recall property of standard - normal distribution

The standard - normal distribution is symmetric about \(z = 0\). We know that \(P(-0.67<z<0)=P(0 < z<0.67)\) because of the symmetry of the standard - normal curve.

Step2: Use standard - normal table

Looking up the value of \(P(0 < z<0.67)\) in the standard - normal table. The standard - normal table gives the area under the curve from \(z = 0\) to a positive \(z\) - value. When we look up \(z=0.67\) in the standard - normal table, we find that the value corresponding to \(z = 0.67\) is \(0.2486\).

Answer:

\(0.2486\)