question 9

Find the indicated area under the standard normal curve.

To the left of z=1.69

The area to the left of z=1.69 under the standard normal curve is

(Round to four decimal places asneeded.)

question 10

Find the indicated probability using the standard normal distribution.

P(0.18

P(0.18

(Round to four decimal places asneeded.)

question 12

In a survey of a group ofmen, the heights in the20-29 age group were normallydistributed, with a mean of 68.6 inches and a standard deviation of 4.0 inches. A study participant is randomly selected. Complete parts(a) through(d) below.

(a) Find the probability that a study participant has a height that is less than 67 inches.

The probability that the study participant selected at random is less than 67 inches tall is

(Round to four decimal places asneeded.)

question 13

In a recentyear, the scores for the reading portion of a test were normallydistributed, with a mean of 21.6 and a standard deviation of 6.3. Complete parts(a) through(d) below.

(a) Find the probability that a randomly selected high school student who took the reading portion of the test has a score that is less than 16.

The probability of a student scoring less than 16 is ____

question 14

Assume a member is selected at random from the population represented by the graph. Find the probability that the member selected at random is from the shaded area of the graph. Assume the variable x is normally distributed.

SAT Critical Reading Scores

200

800

375

=506

=122

200

A graph titled S A T Critical Reading Scores has a normal curve over a horizontal x-axis labeled Score from less than 200 to more than 800. Vertical line segments extend from the horizontal axis to the curve at 200 and 375, where 375 is to the left of center. The area under the curve between 200 and 375 is shaded and labeled 200 less than x less than 375. The equations mu equals 506 and sigma equals 122 are displayed on the graph.

The probability that the member selected at random is from the shaded area of the graph is

(Round to four decimal places asneeded.)