A.Suppose that diastolic blood pressures of adult women in the United States are

Question

A.Suppose that diastolic blood pressures of adult women in the United States are approximately normally distributed with mean 80.5 and standard deviation 9.9. What proportion of women have blood pressure greater than 74.0 ?

Write only a number as your answer. Round to 4 decimal places (for example 0.0048). Do not write as a percentage.

B.The mean length of six-year-old rainbow trout in the Arolik River in Alaska is 481 millimeters with a standard deviation of 41 millimeters. Assume these lengths are normally distributed. What proportion of six-year-old rainbow trout are less than 518 millimeters long?

Write only a number as your answer. Round to 4 decimal places (for example 0.0048). Do not write as a percentage.

Explanation / Answer

A)

=80.5

=9.9

x=74

z=(x-)/

=(74-80.5)/9.9

=-6.5/9.9

=-0.66

P(x>74) =P(z>-0.66)

               =1-P(z<-0.66)

               =1-0.2546

               =0.7454

B)

=481

=41

x=518

z=(x-)/

=(518-481)/41

=37/41

=0.90

P(x<518) =P(z<0.90)

               =0.8159

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