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Let x be a continuous random variable that is normally distributed with a mean of and a standard deviation of

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.

(a) Standardize the variable value x =

.

z =

(b) Standardize the variable value x =

.

z =

Find the area under the standard normal curve between  and

.

Let x be a continuous random variable that is normally distributed with a mean of and a standard deviation of

.

(a) Standardize the variable value x =

.

z =

(b) Standardize the variable value x =

.

z =

For the standard normal distribution, the area between z = 0 and z = 1.17, rounded to four decimal places, is:

For the standard normal distribution, the area to the right of z = -1.62, rounded to four decimal places, is:

or the standard normal distribution, the area between z = 0.29 and z = 0.64, rounded to four decimal places, is:

The GMAT scores of all examinees who took that test this year produce a distribution that is approximately normal with a mean of 430 and a standard deviation of 38.

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

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

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

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