Suppose that people's heights (in centimeters) are normally distributed, with a mean of 170 and a standard deviation of 5. We find the heights of 55 people. How many would you expect to be between 170 and 175 cm?

Standard Normal Distribution; z-scores
 z      0.00      0.01     0.02      0.03     0.04      0.05     0.06      0.07     0.08      0.090.0    0.0000  0.0040  0.0080  0.0120  0.0160  0.0199  0.0239  0.0279  0.0319  0.03590.1    0.0398  0.0438  0.0478  0.0517  0.0557  0.0596  0.0636  0.0675  0.0714  0.07530.2    0.0793  0.0832  0.0871  0.0910  0.0948  0.0987  0.1026  0.1064  0.1103  0.11410.3    0.1179  0.1217  0.1255  0.1293  0.1331  0.1368  0.1406  0.1443  0.1480  0.15170.4    0.1554  0.1591  0.1628  0.1664  0.1700  0.1736  0.1772  0.1808  0.1844  0.18790.5    0.1915  0.1950  0.1985  0.2019  0.2054  0.2088  0.2123  0.2157  0.2190  0.22240.6    0.2257  0.2291  0.2324  0.2357  0.2389  0.2422  0.2454  0.2486  0.2517  0.25490.7    0.2580  0.2611  0.2642  0.2673  0.2704  0.2734  0.2764  0.2794  0.2823  0.28520.8    0.2881  0.2910  0.2939  0.2967  0.2995  0.3023  0.3051  0.3078  0.3106  0.31330.9    0.3159  0.3186  0.3212  0.3238  0.3264  0.3289  0.3315  0.3340  0.3365  0.33891.0    0.3413  0.3438  0.3461  0.3485  0.3508  0.3531  0.3554  0.3577  0.3599  0.36211.1    0.3643  0.3665  0.3686  0.3708  0.3729  0.3749  0.3770  0.3790  0.3810  0.38301.2    0.3849  0.3869  0.3888  0.3907  0.3925  0.3944  0.3962  0.3980  0.3997  0.40151.3    0.4032  0.4049  0.4066  0.4082  0.4099  0.4115  0.4131  0.4147  0.4162  0.41771.4    0.4192  0.4207  0.4222  0.4236  0.4251  0.4265  0.4279  0.4292  0.4306  0.43191.5    0.4332  0.4345  0.4357  0.4370  0.4382  0.4394  0.4406  0.4418  0.4429  0.44411.6    0.4452  0.4463  0.4474  0.4484  0.4495  0.4505  0.4515  0.4525  0.4535  0.45451.7    0.4554  0.4564  0.4573  0.4582  0.4591  0.4599  0.4608  0.4616  0.4625  0.46331.8    0.4641  0.4649  0.4656  0.4664  0.4671  0.4678  0.4686  0.4692  0.4699  0.47061.9    0.4713  0.4719  0.4726  0.4732  0.4738  0.4744  0.4750  0.4756  0.4761  0.47672.0    0.4772  0.4778  0.4783  0.4788  0.4793  0.4798  0.4803  0.4808  0.4812  0.48173.0    0.4987  0.4987  0.4987  0.4988  0.4988  0.4989  0.4989  0.4989  0.4990  0.4990?

A. 34
B. 19
C. 17
D. 25
E. 23


Answer: B

Mathematics

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