SOLUTION: The heights of 3000 women at a particular college are normally distributed with a mean of 65 inches and a standard deviation of 2.5 inches. What percent of women have a height be

 

Hi

*Note: 

For the normal distribution: Below:  z = 0, z = ± 1, z= ±2 , z= ±3 are plotted.  

Area under the standard normal curve to the left of the particular z is P(z)

Note: z = 0 (x value: the mean) 50% of the area under the curve is to the left and 50%  to the right



one  standard deviation from the mean accounts for about 68% of the set 

two standard deviations from the mean account for about 95%

and three standard deviations from the mean account for about 99.7%.



mean of 65 inches and a standard deviation of 2.5 inches

P(62.5 > x < 67.5) = P(-1 > z < 1) = ~.68 (Empirical Rule Above)

 = 2040 women have a height between 62.5 and 67.5 inches