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In: Statistics and Probability

Given a standardized normal distribution​ (with a mean of 0 and a standard deviation of​ 1),...

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.)

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