Question: 2. Suppose the average number of work hours per year, for your employees, has been 2,000 hours with a standard deviation of 206 hours. Please

2. Suppose the average number of work hours per year, for your employees, has been 2,000 hours with a standard deviation of 206 hours. Please graph and calculate the probability that any random employee that you observe, will work between 1,800 hours and 2,500 hours next year. Hint: Two Zs and be ready to add. Carry answer out four decimal places. Appendix B B.9 Binomial Probability Distribution (concluded) 0.30 0.007 0.041 0.113 A 14 Proby 0.40 0.50 0.001 0.000 0.007 0001 0.092 0085 0.022 0.155 0.061 0.10 0.229 0.356 0.257 0.114 0.035 0.000 1 2 3 4 0.044 0.154 0.250 0.250 0.172 0.350 0.123 0.020 0.004 0.00 0.000 0.000 0.00 0.000 0.000 0.001 0.003 0.014 0.70 0.000 0.000 0.000 0.000 0.001 0.80 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0229 5 6 7 0.196 Q.126 0122 0.000 0.000 0.000 0.000 0.000 0.000 0.207 0.207 0.157 0.092 0.041 0041 0.02 0.157 0207 0.207 0.007 0.023 0.062 0.125 0.196 0.000 0.000 0.000 0.001 0.000 0.000 9 0.008 0.001 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.023 0.007 0.000 0.032 0.009 0.002 0.000 0.000 0.000 0.000 0.000 0.000 10 11 12 0.000 0.002 0.000 0.012 0.086 0.172 0.250 0.250 0.154 0.044 0.209 0.163 0.122 0.001 0.022 0.006 0.001 0.000 0.001 0.000 0.000 0.000 0.000 0.035 0.114 0.014 0.003 0.001 0.000 0.000 0.155 0.08 0.032 0.004 0.025 0.000 0.000 0104 0.113 0041 0.007 asa 14 0.001 0.356 0.229 1 0.0 0.10 0.206 0.33 0.80 0.000 08 0 000 1 2 0.356 0.135 0.091 0.005 0.035 0.132 0231 0.250 0.188 0.30 0.005 0.001 0.092 0170 0.219 0.80 0.000 0.000 0.000 0.002 0.007 15 Probability 0.40 0.50 0.000 0 000 0.005 0.000 0.022 0.009 0.063 0.014 0.127 0.042 0.186 0.082 0.207 0.153 0.177 0.1 0.118 0.100 0.061 0.153 0.000 0.129 0.043 0.000 0.000 0.000 0.000 0.000 4 0.70 0.000 0.000 0.000 0.000 0.001 0.005 0.012 0.005 0.001 0.147 0.000 5 0.001 0.010 0.000 0.000 0.000 0.000 0.001 0.003 0.014 0.043 0.000 7 8 9 0.103 0.003 0.014 0.005 0.001 0.000 0.000 0.000 0.001 0.118 0.177 0.207 0.000 0.000 0.000 0.000 0.002 0.000 10 11 12 13 14 0.000 0.000 0.000 0 000 0.000 0.000 0.000 0.000 0205 0.147 0.081 0.035 0.012 0.003 0.001 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.00 0.000 0.000 0.000 0.024 0.007 0.002 0.000 0.082 0.042 0.014 0.003 0.000 0.186 0.127 0.069 0.022 0.005 0.200 0.219 Q.170 0.022 0.103 0.188 0.250 0.231 0.132 0.035 0.010 0.043 0.129 0.267 0.343 0.206 0.001 0.005 0.001 0.136 0.300 0.000 15 0.000 0.000 0.000 0.000 0.000 0.005 0.450 Appendix B B.9 Binomial Probability Distribution 0.30 0.70 2 0 1 0.06 1 Probability 0.40 0.50 0.600 0.500 0.400 0.500 0.10 0.00 0.100 0.20 0.800 0.200 0.700 0.00 0.400 0.600 0.300 0.050 0.200 0.800 0.700 0.100 0.900 0.050 0.950 1 D.DS 0.003 0.40 0.10 0.010 0.180 0.010 0.20 0.540 0.320 0.040 0.30 0.490 0.420 2 Probability 0.50 0.250 0.500 0.250 0.360 1 2 0.80 0.160 0.480 0.360 0.480 0.70 0.090 0.420 0.490 0.80 0.040 0.320 0.640 0.80 0.010 0.180 0.810 0.95 0.003 0.095 0.903 0.000 0.000 0.160 0.857 0.135 0.007 0.000 + 2 0.10 0.729 0.243 0.027 0.001 0.20 0.512 0.384 0.096 0.008 13 Probability 0.40 0.50 0.216 0.125 0.432 0.375 0.288 0.375 0.084 0.125 0.30 0.343 0.441 0.189 0.OZ7 0.50 0.064 0.288 0.432 0.216 0.70 0.027 0.189 0.441 0.80 0.000 0.096 0.384 0.512 0.80 0.001 0.027 0.249 0.729 0.000 0.007 0.135 0.857 0.343 0.30 0.00 0.815 0.171 0.240 0 1 2 3 4 0.70 0.008 0.410 0.410 0.154 - 4 Probability 0.40 0.50 0.130 0.063 0.346 0.250 0.346 0.375 0.154 0.250 0.083 0.10 0.656 0282 0.049 0.004 0.000 0.014 0.60 0.026 0.154 0.346 0.346 0.130 0.412 0.266 0.078 0.008 0.80 0.002 0.028 0.154 0.410 0.410 0.000 0.000 0.076 0.265 0.412 0.240 0.000 0.95 0.000 0.000 0.014 0.171 0.815 0.000 0.004 0.049 0.282 0.002 2 0.10 0.590 0.85 0.774 0.2014 1 2 3 0.000 #25 Probably 0.50 0.078 0.031 0.259 0.156 0.345 0.313 0.230 0.313 0.077 0.010 0.001 0.30 0.150 0.300 0.309 0.132 0.028 0.002 0.410 0.206 0.001 0.008 0.073 0.008 0.000 0.000 0.001 0 000 0.000 0.80 0.010 0.077 0230 0.340 0.259 0.078 0.70 0.002 0.028 0.132 0.309 0.360 0.168 0.80 0.000 0.006 0.051 0.205 0.410 0.328 0.90 0.000 0.000 0.008 0.073 0.328 0.500 8 0.000 0.001 0.021 0.204 0.774 0.000

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