Let z be a normal random variable with mean 0 and standard deviation 1.Which of these most closely reflects P(-2.25

Question

Let z be a normal random variable with mean 0 and standard deviation 1.Which of these most closely reflects P(-2.25 < z < -1.1)?
A)0.3643
B)0.8643
C)0.1235
D)0.4878
E)0.5000

Quizplus · Accepted Answer

The probability P(-2.25 < z < -1.1) can be found using the standard normal distribution table or a calculator. The probability of z being less than -1.1 is approximately 0.1357, and the probability of z being less than -2.25 is approximately 0.0122. The difference, 0.1357 - 0.0122, is approximately 0.1235.

Let Z Be a Normal Random Variable with Mean 0