Consider the normal curve in the figure to the right, which gives relative frequ

Question

Consider the normal curve in the figure to the right, which gives relative frequencies in a distribution of men's heights. The distribution has a mean of 69.1 inches and a standard deviation of 2.9 inches 60 62 64 66 68 70 72 74 76 78 height (inches) a. What is the total area under the curve? The total area under the curve is (Round to the nearest hundredth as needed.) b. Estimate the relative frequency of values less than 66. Choose the correct answer beloww OA. 0.14 OB. 0.86 C. 1.00 OD, 0.52 c. Estimate the relative frequency of values greater than 66. Choose the correct answer below. OA. 0.86 OB. 0.52 OC. 1.00 O D. 0.14

Explanation / Answer

Total area under the curve = 1.00

b) P(X<66)

= P(Z<(66-69.1)/2.9)

= P(Z<-1.07)

= 0.14

c)1-0.14

= 0.86

d) P(66<X<69)

= P((66-69.1)/2.9<Z<(69-69.1)/2.9)

= 0.35

e) 0.51

=

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