On the basis of Data Set 1 "Body Data" in Appendix B, assume that heights of men are normally distributed, with a mean of 68.6 in. and a standard deviation of 2.8 in.
a. The U.S. Coast Guard requires that men must have a height between 60 in. and 80 in. Find the percentage of men who satisfy that height requirement.
b. Find the probability that 4 randomly selected men have heights with a mean greater than 70 in.
Data Set1

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AGE GENDER (1=M) PULSE SYSTOLIC DIASTOLIC HDL LDL WHITE RED PLATE WEIGHT HEIGHT WAIST ARM CIRC BMI 100 112 134 126 114 73 35 36 8.7 4.9 6.9 7.5 6.1 98.6 96.9 4.47297 108.2 54.4 120.3 73.1 83.1 40.7 37.0 44.3 30.3 34.0 4.80 319 172.0 120.4 116 28.0 45.4 28.4 25.9 57 70 4.73 187 186.0 107.8 38 94 94 4.32 170 160.5 97.2 34 50 50 104 4.95 140 179.0 95.1