A Southeastern College Has an Enrollment of 2951 Female Students

A southeastern college has an enrollment of 2951 female students. Records show that the mean height of these students is 64.7 inches and that the standard deviation is 2.3 inches. The table shows Frequency and relative-frequency data for these heights. If you assume that the distribution of Heights is approximately normal, then you can use the table to estimate areas under the
associated Normal curve (that is, under the normal curve that has parameters µ = 64.7 and Ϭ = 2.3) . Making This assumption, estimate the area under the associated normal curve to the right of 62. $$\begin{array} { c | c | c } \begin{array} { c } \text { Height } \\\text { (inches) }\end{array} & \text { Freq. } & \begin{array} { c } \text { Relative } \\\text { freq. }\end{array} \\\hline \text { 56-under 57 } & 2 & 0.0007 \\\text { 57-under 58 } & 7 & 0.0024 \\\text { 58-under 59 } & 14 & 0.0047 \\\text { 59-under 60 } & 31 & 0.0105 \\\text { 60-under 61 } & 101 & 0.0342 \\\text { 61-under 62 } & 194 & 0.0657 \\\text { 62-under 63 } & 311 & 0.1054 \\\text { 63-under 64 } & 410 & 0.1389 \\\text { 64-under 65 } & 526 & 0.1782 \\\text { 65-under 66 } & 482 & 0.1633 \\\text { 66-under 67 } & 397 & 0.1345 \\\text { 67-under 68 } & 254 & 0.0861 \\\text { 68-under 69 } & 150 & 0.0508 \\\text { 69-under 70 } & 49 & 0.0166 \\\text { 70-under 71 } & 17 & 0.0058 \\\text { 71-under 72 } & 5 & 0.0017 \\\text { 72-under 73 } & 1 & 0.0003\end{array}$$

A) 0.1711
B) 0.1182
C) 0.8816
D) 0.0657