Consider a random variable, z, that has a standardized normal distribution. Determine P(0

Question

Consider a random variable, z, that has a standardized normal distribution. Determine P(0 < z < 1.96).
A) 0.1250
B) 0.5250
C) 0.3250
D) 0.4750

Quizplus · Accepted Answer

The probability P(0 < z < 1.96) is the area under the standard normal curve between z = 0 and z = 1.96. This is equal to the cumulative probability at z = 1.96 minus the cumulative probability at z = 0. The cumulative probability at z = 1.96 is approximately 0.9750, and at z = 0 it is 0.5. Therefore, P(0 < z < 1.96) = 0.9750 - 0.5 = 0.4750.

Consider a Random Variable, Z, That Has a Standardized Normal