ple of women's heights was taken. Their heights (in inches) are defined by the following probability function. 0.0825x -5.0325 f(x) = -0.0425x+2.9325 for 61 < x < 65 for 65 < x < 69 0 elsewhere raph of f(x), the density curve, is shown below.

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A sample of women's heights was taken. Their heights (in inches) are defined by the following probability function.
0.0825x5.0325
for 61 < x < 65
f(x) = -0.0425x + 2.9325
0
for 65 ≤ x < 69
elsewhere
The graph of f(x), the density curve, is shown below.
0.35
0.30
0.25
0.20
0.15
A
0.10
0.05
0.00
61
62
63
64 65 66
67
68
Height
(i)
Part 1 of 3
Find the probability that a randomly selected woman from the sample has a height greater than 67 inches. (Round your answer to three
decimal places.)
Density
69
Transcribed Image Text:A sample of women's heights was taken. Their heights (in inches) are defined by the following probability function. 0.0825x5.0325 for 61 < x < 65 f(x) = -0.0425x + 2.9325 0 for 65 ≤ x < 69 elsewhere The graph of f(x), the density curve, is shown below. 0.35 0.30 0.25 0.20 0.15 A 0.10 0.05 0.00 61 62 63 64 65 66 67 68 Height (i) Part 1 of 3 Find the probability that a randomly selected woman from the sample has a height greater than 67 inches. (Round your answer to three decimal places.) Density 69
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