Let z be a normal random variable with mean 0 and standard deviation 1.What is P(z

Question

Let z be a normal random variable with mean 0 and standard deviation 1.What is P(z < -2.1)?
A)0.4821
B)-0.4821
C)0.9821
D)0.0179
E)-0.0179

Quizplus · Accepted Answer

The probability P(z < -2.1) refers to the area under the standard normal distribution curve to the left of z = -2.1. This is found using standard normal distribution tables or a calculator designed for statistical analysis, which gives the result as 0.0179. Negative probabilities do not exist, and the values greater than 0.5 are not possible for z < -2.1 in a standard normal distribution.

Let Z Be a Normal Random Variable with Mean 0