$$\text { Find the probability } \mathrm { P } ( \mathrm { z }

Question

$$\text { Find the probability } \mathrm { P } ( \mathrm { z } < - 0.31 ) \text { using the standard normal distribution. }$$
A) 0.6217
B) 0.3783
C) 0.8783
D) 0.6900

Quizplus · Accepted Answer

Using a standard normal table or calculator, we find that the area to the left of $-0.31$ is 0.3783. Since this is the area to the left, we want the area to the right, so we subtract that from 1 to get $1-0.3783 = 0.6217$. However, the question is asking for the probability that $z<-0.31$, which includes the area to the left of $-0.31$. Thus, we choose option (B), which gives the necessary area to the left of $-0.31$.

Find the probability P(z<−0.31) using the standard normal distribution. \text { Find the probability } \mathrm { P } ( \mathrm { z } < - 0.31 ) \text { using the standard normal distribution. } Find the probability P(z<−0.31) using the standard normal distribution.

$\text { Find the probability } \mathrm { P } ( \mathrm { z } < - 0.31 ) \text { using the standard normal distribution. }$