Find the probability $\mathrm { P } ( 0.21

Question

Find the probability $\mathrm { P } ( 0.21 < \mathrm { z } < 1.28 )$ using the standard normal distribution.
A) 0.3166
B) 0.6834
C) 0.8166
D) 0.4100

Quizplus · Accepted Answer

The probability $\mathrm { P } ( 0.21 < \mathrm { z } < 1.28 )$ is found by calculating the area under the standard normal curve between z = 0.21 and z = 1.28. Using standard normal distribution tables or a calculator, $\mathrm { P } ( \mathrm { z } < 1.28 ) = 0.8997$ and $\mathrm { P } ( \mathrm { z } < 0.21 ) = 0.5832$. Therefore, $\mathrm { P } ( 0.21 < \mathrm { z } < 1.28 ) = 0.8997 - 0.5832 = 0.3165$, which rounds to 0.3166.

Find the Probability P(0.21<z<1.28)\mathrm { P } ( 0.21 < \mathrm { z } < 1.28 )P(0.21<z<1.28)

Find the Probability $\mathrm { P } ( 0.21 < \mathrm { z } < 1.28 )$