Question

find the indicated probability using the standard normal distribution. p(z > - 0.715) p(z > - 0.715)= (round to four decimal places as needed.)

Explanation:

Step1: Recall the property of standard normal

The total area under the standard - normal curve is 1, and $\text{P}(Z > z)=1-\text{P}(Z\leq z)$.

Step2: Look up the value of $\text{P}(Z\leq - 0.715)$

Using a standard - normal table (or z - table), we find that $\text{P}(Z\leq - 0.715)=0.2375$.

Step3: Calculate $\text{P}(Z > - 0.715)$

$\text{P}(Z > - 0.715)=1 - \text{P}(Z\leq - 0.715)=1 - 0.2375 = 0.7625$.

Answer:

$0.7625$