Question

find the indicated probability using the standard normal distribution. p(-0.64 < z < 0.64) click here to view page 1 of the standard normal table. click here to view page 2 of the standard normal table. p(-0.64 < z < 0.64)= (round to four decimal places as needed.)

Explanation:

Step1: Use the property of standard - normal distribution

The standard - normal distribution is symmetric about \(z = 0\). So \(P(-0.64<z<0.64)=P(z < 0.64)-P(z<-0.64)\).

Step2: Look up values in the standard - normal table

From the standard - normal table, \(P(z < 0.64)=0.7389\) and \(P(z<-0.64)=1 - P(z < 0.64)=1 - 0.7389 = 0.2611\).

Step3: Calculate the probability

\(P(-0.64<z<0.64)=0.7389-0.2611 = 0.4778\).

Answer:

\(0.4778\)