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(Solved) Compute the following probability. Round your answer to four decimal places. Area under normal curve between x = 27.0 and x = 53.0 is given by P...


1.Compute the following probability. Round your answer to four decimal places.

Area under normal curve between x = 27.0 and x = 53.0 is given by

P(27.0 < x < 53.0 ) = P( 0.67 < z < 5) = Recall that P(0.67 < z < 5) = P(z < 5) – P(z < 0.67 ).


2.The total area under a normal distribution curve to the left of the mean is always select one:

A. greater than .5

B. equal to 1

C. equal to zero

D. equal to 0.5


3. For the standard normal distribution, the mean is select one:

A. 0.5 and the standard deviation is 0.5

B. 1 and the standard deviation is zero

C. zero and the standard deviation is 1

D. 1 and the standard deviation is 1


4.For the standard normal distribution, the area between z = 0 and z = 2.20, rounded to four decimal places, is:

=


5.For the standard normal distribution, the area to the right of z = -2.40, rounded to four decimal places, is:

=


6.For the standard normal distribution, the area between z = 0.99 and z = 2.60, rounded to four decimal places, is:

=


7. The GMAT scores of all examinees who took that test this year produce a distribution that is approximately normal with a mean of 450 and a standard deviation of 45.

The probability that the score of a randomly selected examinee is between 400 and 480, rounded to three decimal places, is:

The probability that the score of a randomly selected examinee is less than 370, rounded to three decimal places, is:

The probability that the score of a randomly selected examinee is more than 530, rounded to three decimal places, is:

 


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