In: Statistics and Probability
Given a standardized normal distribution (with a mean of 0 and a standard deviation of 1), complete parts (a) through (d). Show ALL Work.
a. What is the probability that Z is less than 1.53?
The probability that Z is less than 1.53 is .9370 (Round to four decimal places as needed.)
b. What is the probability that Z is greater than 1.85?
The probability that Z is greater than 1.85 is .0322 (Round to four decimal places as needed.)
c. What is the probability that Z is between 1.53 and 1.85?
The probability that Z is between 1.53 and 1.85 is .0308 (Round to four decimal places as needed.)
d. What is the probability that Z is less than 1.53 or greater than 1.85?
The probability that Z is less than 1.53 or greater than 1.85 is .9692. (Round to four decimal places as needed.)