Let z be a normal random variable with mean 0 and standard deviation 1.What is P(z -1.1)?
A)0.3643
B)0.8643
C)0.1357
D)-0.1357
E)-0.8643

Question

Let z be a normal random variable with mean 0 and standard deviation 1.What is P(z > -1.1)?
A)0.3643
B)0.8643
C)0.1357
D)-0.1357
E)-0.8643

Quizplus · Accepted Answer

The probability P(z > -1.1) can be found using the standard normal distribution table or a calculator. For a standard normal distribution (mean = 0, standard deviation = 1), the area to the left of z = -1.1 is approximately 0.1357. Since we are interested in P(z > -1.1), we subtract this value from 1 to get 1 - 0.1357 = 0.8643. This represents the area to the right of z = -1.1, which is the probability that z is greater than -1.1.

Let Z Be a Normal Random Variable with Mean 0