Question

Given the standardized normal distribution with mean of 0 and standard devoation of 1 .

what is the probability that Z is less than 1.52 or greater than 1.89?

Answer 1

GIven the standardized normal distribution with mean of 0 and standard deviation of 1.

Now what is a standardized normal distribution?

A continuous random variable Z is said to have a standardized normal distribution if its PDF(Probability Density Function) is given by,

Now here we need to find the probability that Z is less than 1.52 or greater than 1.89.

Hence the probability that Z is less than 1.52 or greater than 1.89 is 0.9651.