Let the random variable Z follow a standard normal distribution.Find P(-1.33

Question

Let the random variable Z follow a standard normal distribution.Find P(-1.33 < Z < 0.78).
A)0.6905
B)0.2823
C)0.2177
D)0.3095

Quizplus · Accepted Answer

To find $P(-1.33 < Z < 0.78)$, we look up the Z-scores in the standard normal distribution table or use a calculator. The table gives us the area to the left of $Z = -1.33$ and $Z = 0.78$. For $Z = -1.33$, the area to the left is approximately 0.0918, and for $Z = 0.78$, it's approximately 0.7823. To find the probability between these Z-scores, subtract the smaller area from the larger area: $0.7823 - 0.0918 = 0.6905$.

Let the Random Variable Z Follow a Standard Normal Distribution