Suppose the concentration of a compound found in a person's blood is normally distrbiu t e d. Suppose also that the event of the concentration being x mgLha.'3 a z-score of 0.13 andt he event of the concentration being y mgLhas a z-score of 0.47. If a person is selected randomly from the population , what is the probability that the concentration in their blood will be between x mg/L and y mg/L?

You may use the following table or a spreadsheet program such as Microsoft Excel or something similar. Either way, you must show your relevant calculation. If you are using a spreadsheet program, you need to write down what you haved typed in and what value(s) it has returned.

z 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09

0.0 0.0000 0.0040 0.0080 0.0120 0.0160 0.0199 0.0239 0.0279 0.0319 0.0359

0.1 0.0398 0.0438 0.0478 0.0517 0.0557 0.0596 0.0636 0.0675 0.0714 0.0753

0.2 0.0793 0.0832 0.0871 0.0910 0.0948 0.0987 0.1026 0.1064 0.1103 0.1141

0.3 0.1179 0.1217 0.1255 0.1293 0.1331 0.1368 0.1406 0.1443 0.1480 0.1517

0.4 0.1554 0.1591 0.1628 0.1664 0.1700 0.1736 0.1772 0.1808 0.1844 0.1879

0.5 0.1915 0.1950 0.1985 0.2019 0.2054 0.2088 0.2123 0.2157 0.2190 0.2224