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begin{tabular}{|c|c|c|c|c|c|c|c|} hline z & A(z) & z & A(z) & z & A(z) & z & A(z)  hline-
3.50 & 0.0002 & -2.60 & 0.0047 & -1.70 & 0.0446 & -0.80 & 0.2119  hline-3.45 & 0.0003 &
-2.55 & 0.0054 & -1.65 & 0.0495 & -0.75 & 0.2266  hline-3.40 & 0.0003 & -2.50 & 0.0062 &
-1.60 & 0.0548 & -0.70 & 0.2420  hline-3.35 & 0.0004 & -2.45 & 0.0071 & -1.55 & 0.0606 &
-0.65 & 0.2578  hline-3.30 & 0.0005 & -2.40 & 0.0082 & -1.50 & 0.0668 & -0.60 & 0.2743 
hline-3.25 & 0.0006 & -2.35 & 0.0094 & -1.45 & 0.0735 & -0.55 & 0.2912  hline-3.20 &
0.0007 & -2.30 & 0.0107 & -1.40 & 0.0808 & -0.50 & 0.3085  hline-3.15 & 0.0008 & -2.25 &
0.0122 & -1.35 & 0.0885 & -0.45 & 0.3264  hline-3.10 & 0.0010 & -2.20 & 0.0139 & -1.30 &
0.0968 & -0.40 & 0.3446  hline-3.05 & 0.0011 & -2.15 & 0.0158 & -1.25 & 0.1056 & -0.35 &
0.3632  hline-3.00 & 0.0013 & -2.10 & 0.0179 & -1.20 & 0.1151 & -0.30 & 0.3821  hline-
2.95 & 0.0016 & -2.05 & 0.0202 & -1.15 & 0.1251 & -0.25 & 0.4013  hline-2.90 & 0.0019 &
-2.00 & 0.0228 & -1.10 & 0.1357 & -0.20 & 0.4207  hline-2.85 & 0.0022 & -1.95 & 0.0256 &
-1.05 & 0.1469 & -0.15 & 0.4404  hline-2.80 & 0.0026 & -1.90 & 0.0287 & -1.00 & 0.1587 &
-0.10 & 0.4602  hline-2.75 & 0.0030 & -1.85 & 0.0322 & -0.95 & 0.1711 & -0.05 & 0.4801 
hline-2.70 & 0.0035 & -1.80 & 0.0359 & -0.90 & 0.1841 & &  hline-2.65 & 0.0040 & -1.75
& 0.0401 & -0.85 & 0.1977 & &  hline end{tabular}
begin{tabular}{|c|c|c|c|c|c|c|c|} hline z & A(z) & z & A(z) & z & A(z) & z & A(z)  hline 0.00
& 0.5000 & 0.90 & 0.8159 & 1.80 & 0.9641 & 2.70 & 0.9965  hline 0.05 & 0.5199 & 0.95 &
0.8289 & 1.85 & 0.9678 & 2.75 & 0.9970  hline 0.10 & 0.5398 & 1.00 & 0.8413 & 1.90 &
0.9713 & 2.80 & 0.9974  hline 0.15 & 0.5596 & 1.05 & 0.8531 & 1.95 & 0.9744 & 2.85 &
0.9978  hline 0.20 & 0.5793 & 1.10 & 0.8643 & 2.00 & 0.9772 & 2.90 & 0.9981  hline 0.25
& 0.5987 & 1.15 & 0.8749 & 2.05 & 0.9798 & 2.95 & 0.9984  hline 0.30 & 0.6179 & 1.20 &
0.8849 & 2.10 & 0.9821 & 3.00 & 0.9987  hline 0.35 & 0.6368 & 1.25 & 0.8944 & 2.15 &
0.9842 & 3.05 & 0.9989  hline 0.40 & 0.6554 & 1.30 & 0.9032 & 2.20 & 0.9861 & 3.10 &
0.9990  hline 0.45 & 0.6736 & 1.35 & 0.9115 & 2.25 & 0.9878 & 3.15 & 0.9992  hline 0.50
& 0.6915 & 1.40 & 0.9192 & 2.30 & 0.9893 & 3.20 & 0.9993  hline 0.55 & 0.7088 & 1.45 &
0.9265 & 2.35 & 0.9906 & 3.25 & 0.9994  hline 0.60 & 0.7257 & 1.50 & 0.9332 & 2.40 &
0.9918 & 3.30 & 0.9995  hline 0.65 & 0.7422 & 1.55 & 0.9394 & 2.45 & 0.9929 & 3.35 &
0.9996  hline 0.70 & 0.7580 & 1.60 & 0.9452 & 2.50 & 0.9938 & 3.40 & 0.9997  hline 0.75
& 0.7734 & 1.65 & 0.9505 & 2.55 & 0.9946 & 3.45 & 0.9997  hline 0.80 & 0.7881 & 1.70 &
0.9554 & 2.60 & 0.9953 & 3.50 & 0.9998  hline 0.85 & 0.8023 & 1.75 & 0.9599 & 2.65 &
0.9960 & &  hline end{tabular}
A 4-year review of trauma admissions to a hospital in Papua New Guinea reveals that 2.7% of
such admissions were due to being struck by falling coconuts. (a) Suppose 20 patients are
admitted to the hospital during a certain time period. What is the probability that no more than 1
of these patients are there because they were struck by falling coconuts? Do not use the normal
distribution here. (b) Suppose 1600 patients are admitted to the hospital during a longer time
period. What is the approximate probability that no more than 78 of these patients are there
because they were struck by falling coconuts? Use the normal approximation to the binomial
distribution. Click here to view page 1 of the Areas under the Normal Curve Table. Click here to
view page 2 of the Areas under the Normal Curve Table.

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begin{tabular}{cccccccc} hline z & A(z) & z & A(z) & z &.pdf

  • 1. begin{tabular}{|c|c|c|c|c|c|c|c|} hline z & A(z) & z & A(z) & z & A(z) & z & A(z) hline- 3.50 & 0.0002 & -2.60 & 0.0047 & -1.70 & 0.0446 & -0.80 & 0.2119 hline-3.45 & 0.0003 & -2.55 & 0.0054 & -1.65 & 0.0495 & -0.75 & 0.2266 hline-3.40 & 0.0003 & -2.50 & 0.0062 & -1.60 & 0.0548 & -0.70 & 0.2420 hline-3.35 & 0.0004 & -2.45 & 0.0071 & -1.55 & 0.0606 & -0.65 & 0.2578 hline-3.30 & 0.0005 & -2.40 & 0.0082 & -1.50 & 0.0668 & -0.60 & 0.2743 hline-3.25 & 0.0006 & -2.35 & 0.0094 & -1.45 & 0.0735 & -0.55 & 0.2912 hline-3.20 & 0.0007 & -2.30 & 0.0107 & -1.40 & 0.0808 & -0.50 & 0.3085 hline-3.15 & 0.0008 & -2.25 & 0.0122 & -1.35 & 0.0885 & -0.45 & 0.3264 hline-3.10 & 0.0010 & -2.20 & 0.0139 & -1.30 & 0.0968 & -0.40 & 0.3446 hline-3.05 & 0.0011 & -2.15 & 0.0158 & -1.25 & 0.1056 & -0.35 & 0.3632 hline-3.00 & 0.0013 & -2.10 & 0.0179 & -1.20 & 0.1151 & -0.30 & 0.3821 hline- 2.95 & 0.0016 & -2.05 & 0.0202 & -1.15 & 0.1251 & -0.25 & 0.4013 hline-2.90 & 0.0019 & -2.00 & 0.0228 & -1.10 & 0.1357 & -0.20 & 0.4207 hline-2.85 & 0.0022 & -1.95 & 0.0256 & -1.05 & 0.1469 & -0.15 & 0.4404 hline-2.80 & 0.0026 & -1.90 & 0.0287 & -1.00 & 0.1587 & -0.10 & 0.4602 hline-2.75 & 0.0030 & -1.85 & 0.0322 & -0.95 & 0.1711 & -0.05 & 0.4801 hline-2.70 & 0.0035 & -1.80 & 0.0359 & -0.90 & 0.1841 & & hline-2.65 & 0.0040 & -1.75 & 0.0401 & -0.85 & 0.1977 & & hline end{tabular} begin{tabular}{|c|c|c|c|c|c|c|c|} hline z & A(z) & z & A(z) & z & A(z) & z & A(z) hline 0.00 & 0.5000 & 0.90 & 0.8159 & 1.80 & 0.9641 & 2.70 & 0.9965 hline 0.05 & 0.5199 & 0.95 & 0.8289 & 1.85 & 0.9678 & 2.75 & 0.9970 hline 0.10 & 0.5398 & 1.00 & 0.8413 & 1.90 & 0.9713 & 2.80 & 0.9974 hline 0.15 & 0.5596 & 1.05 & 0.8531 & 1.95 & 0.9744 & 2.85 & 0.9978 hline 0.20 & 0.5793 & 1.10 & 0.8643 & 2.00 & 0.9772 & 2.90 & 0.9981 hline 0.25 & 0.5987 & 1.15 & 0.8749 & 2.05 & 0.9798 & 2.95 & 0.9984 hline 0.30 & 0.6179 & 1.20 & 0.8849 & 2.10 & 0.9821 & 3.00 & 0.9987 hline 0.35 & 0.6368 & 1.25 & 0.8944 & 2.15 & 0.9842 & 3.05 & 0.9989 hline 0.40 & 0.6554 & 1.30 & 0.9032 & 2.20 & 0.9861 & 3.10 & 0.9990 hline 0.45 & 0.6736 & 1.35 & 0.9115 & 2.25 & 0.9878 & 3.15 & 0.9992 hline 0.50 & 0.6915 & 1.40 & 0.9192 & 2.30 & 0.9893 & 3.20 & 0.9993 hline 0.55 & 0.7088 & 1.45 & 0.9265 & 2.35 & 0.9906 & 3.25 & 0.9994 hline 0.60 & 0.7257 & 1.50 & 0.9332 & 2.40 & 0.9918 & 3.30 & 0.9995 hline 0.65 & 0.7422 & 1.55 & 0.9394 & 2.45 & 0.9929 & 3.35 & 0.9996 hline 0.70 & 0.7580 & 1.60 & 0.9452 & 2.50 & 0.9938 & 3.40 & 0.9997 hline 0.75 & 0.7734 & 1.65 & 0.9505 & 2.55 & 0.9946 & 3.45 & 0.9997 hline 0.80 & 0.7881 & 1.70 & 0.9554 & 2.60 & 0.9953 & 3.50 & 0.9998 hline 0.85 & 0.8023 & 1.75 & 0.9599 & 2.65 & 0.9960 & & hline end{tabular} A 4-year review of trauma admissions to a hospital in Papua New Guinea reveals that 2.7% of
  • 2. such admissions were due to being struck by falling coconuts. (a) Suppose 20 patients are admitted to the hospital during a certain time period. What is the probability that no more than 1 of these patients are there because they were struck by falling coconuts? Do not use the normal distribution here. (b) Suppose 1600 patients are admitted to the hospital during a longer time period. What is the approximate probability that no more than 78 of these patients are there because they were struck by falling coconuts? Use the normal approximation to the binomial distribution. Click here to view page 1 of the Areas under the Normal Curve Table. Click here to view page 2 of the Areas under the Normal Curve Table.