Given a standardized normal distribution (with a mean of 0 and a standard deviat

ID: 3364798 • Letter: G

Question

Given a standardized normal distribution (with a mean of 0 and a standard deviation of 1), complete parts (a) through (d).

a. What is the probability that Z is less than 1.53?

The probability that Z is less than 1.53 __

(Round to four decimal places as needed.)

b. What is the probability that Z is greater than 1.87?

The probability that Z is greater than 1.87__

(Round to four decimal places as needed.)

c. What is the probability that Z is between 1.53and 1.87?

The probability that Z is between 1.53 and 1.87 is__.

(Round to four decimal places as needed.)

d. What is the probability that Z is less than 1.53 or greater than 1.87?

The probability that Z is less than 1.53 or greater than 1.87 is __

(Round to four decimal places as needed.)

a) P(z<1.53), from normal distribution table we get 0.9370

b) P(z>1.87) or 1-P(z<1.87)=1-0.9693=0.0307

c) P(1.53<z<1.87)=P(z<1.87)-P(z<1.53)=0.9693-0.9370=0.0323

d) This is 1- P(1.53<z<1.87)=1-0.0323=0.9677

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