An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 140 lb and 181 lb. The new population of pilots has normally distributed weights with a mean of 150 lb and a standard deviation of 32.5 lb. Click here to view page 1 of the standard normal distribution. Click here to view page 2 of the standard normal distribution. . . . a. If a pilot is randomly selected, find the probability that his weight is between 140 lb and 181 lb. The probability is approximately . (Round to four decimal places as needed.) b. If 30 different pilots are randomly selected, find the probability that their mean weight is between 140 lb and 181 lb. The probability is approximately . (Round to four decimal places as needed.) c. When redesigning the ejection seat, which probability is more relevant? O A. Part (b) because the seat performance for a single pilot is more important. O B. Part (a) because the seat performance for a sample of pilots is more important. O C. Part (a) because the seat performance for a single pilot is more important. O D. Part (b) because the seat performance for a sample of pilots is more important.Standard Normal (z) Distribution: Cumulative Area from the LEFT Z .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 - 3.50 and lower .0001 - 3.4 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0002 -3.3 .0005 .0005 .0005 .0004 .0004 .0004 .0004 .0004 .0004 .0003 -3.2 .0007 .0007 .0006 .0006 .0006 .0006 .0006 .0005 .0005 .0005 - 3.1 .0010 .0009 .0009 .0009 .0008 .0008 .0008 .0008 .0007 .0007 - 3.0 .0013 .0013 .0013 .0012 .0012 .0011 .0011 .0011 .0010 .0010 - 2.9 .0019 .0018 .0018 .0017 .0016 .0016 .0015 .0015 .0014 .0014 - 2.8 .0026 .0025 .0024 .0023 .0023 .0022 .0021 .0021 .0020 .0019 -2.7 .0035 .0034 .0033 .0032 .0031 .0030 .0029 .0028 .0027 .0026 -2.6 .0047 .0045 .0044 .0043 .0041 .0040 .0039 .0038 .0037 .0036 - 2.5 .0062 .0060 .0059 .0057 .0055 .0054 .0052 .0051 .0049 .0048 -2.4 .0082 .0080 .0078 .0075 .0073 .0071 .0069 .0068 .0066 .0064 -2.3 .0107 .0104 .0102 .0099 .0096 .0094 .0091 .0089 .0087 .0084 -2.2 .0139 .0136 .0132 .0129 .0125 .0122 .0119 .01 16 .0113 .0110 - 2.1 .0179 .0174 .0170 .0166 .0162 .0158 .0154 .0150 .0146 .0143 -2.0 .0228 .0222 .0217 .0212 .0207 .0202 .0197 .0192 .0188 .0183 -1.9 .0287 .0281 .0274 .0268 .0262 .0256 .0250 .0244 .0239 .0233\f