The figure below shows a frequency and​ relative-frequency distribution for the heights of female students attending a c

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The figure below shows a frequency and​ relative-frequency
distribution for the heights of female students attending a
college. Records show that the mean height of these students is
64.5
inches and that the standard deviation is
1.9
inches. Use the given information to complete parts​ (a)
through​ (c).
Height​ (in.)
Frequency
f
Relative freq.
60–under
3
0.0105
61–under
7
0.0246
62–under
21
0.0737
63–under
71
0.2491
64–under
83
0.2912
65–under
62
0.2175
66–under
29
0.1018
67–under
6
0.0211
68–under
3
0.0105
285
1.0000
...
Question content area right
Part 1
a. The area under the normal curve with parameters
μ=64.5
and
σ=1.9
that lies to the left of
63
is
0.2147.
Use this information to estimate the percent of female students
who are shorter than
63
inches.
enter your response here​%
​(Type an integer or a decimal. Do not​ round.)
Part 2
b. Use the​ relative-frequency distribution to the left to
obtain the exact percentage of female students who are shorter
than
63
inches.
enter your response here​%
​(Type an integer or a decimal. Do not​ round.)
Part 3
c. Compare your answers from parts​ (a) and​ (b).