The measurement of the height of 600 students of a college is normally distributed with a mean of 175 centimeters and a standard deviation of 5 centimeters. What percent of students are between 170 cm and 180 cm in height?

Question

amistre64 · Answer

there is an empirical rule that tells us:$$P(-1\sigma\le x\le1\sigma)\approx .6800$$
$$P(-2\sigma\le x\le2\sigma)\approx .9500$$
$$P(-3\sigma\le x\le3\sigma)\approx .9900$$

amistre64 · Answer

170 < 175 < 180  

175-5 < 175 < 175+5  

-1$\sigma$ < 175 < 1$\sigma$

amistre64 · Answer

and they want percent, so id change the decimals to percents

anonymous · Answer

so 68 %?

amistre64 · Answer

id go with 68%, yes

anonymous · Answer

kk thanks