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Find the area of the indicated region under the standard normal curve Click here to view page 1 of the standard normal table Click here to view page 2 of the standard normal table 1.4 The area between z 0 and z# 1.4 under the standard normal curve is (Round to four decimal places as needed.) L]
The time spent (in days) waiting for a heart transplant for people ages 35-49 can be approximiated by the normal distribution, as shown in the figure to the right 25.2 (a) What waiting time represents the 5th percentile? (b) What waiting time represents the third quartile? 103 203 303 Days Click to view page 1 of the Standard Normal Table Click to view page 2 of the Standard Normal Table. (a) The waiting time that represents the 5th percentile is days Round to the nearest integer as needed.) (b) The waiting time that represents the third quartle is days (Round to the nearest integer as needed.) arson: Element
Standard Normal Table (Page 1) z 0.09 0.08 0.07 0.06 0.05 0.04 0.03 0.02 0.01 0.00 3.4 0.0002 0.0003 0.0003 0.0003 0.0003 0.0003 0 0003 0.0003 0.0003 0.0003 3.3 0.0003 0.0004 0.0004 00004 0.00040004 0.0004 0.0005 0.0005 0.0005 3.2 10 0005 0 0005 0 0005 0 0006 0 0006 0006 0 0006 0 0006 0 0007 0 0007 3.1 0.0007 0.0007 0.0008 0.0008 0.0008 0 0008 0.0009 0 0009 0.0009 0.0010 3.0 0.0010 0.0010 0.0011 00011 00011 00012 00012 0.0013 0.0013 0.0013 2.9 0.0014 0.0014 00015 0.0015 0.0016 0 0016 0.0017 00018 0.0018 0.0019 2.8 0.0019 0.0020 0.0021 0 0021 0.0022 0.0023 0.0023 0.0024 0 0025 0.0026 2.7 0.0026 0.0027 0.0028 0.0029 0.0030 0.0031 0.0032 0.0033 00034 0.0035 2.6 0.0036 0.0037 0.0038 0.0039 0.0040 0.0041 00043 00044 0.0045 0.0047 2.5 0.0048 0.0049 0.0051 0.0052 0.0054 0.0055 0 0057 0 0059 0.0060 0.0062 2.40.0064 0.0066 0.0068 0 0069 0.0071 0 0073 00075 00078 0.0080 0.0082 2.3 0.0084 0.0087 0.0089 0.0091 0.0094 0.0096 0 0099 00102 00104 0.0107 2.2 0 0110 0.0113 0.0116 0.0119 0.0122 00125 00129 00132 0.0136 00139 2.10.0143 0 0146 00150 0.0154 0 0158 0.0162 0.0166 0 0170 0.0174 0.0179 2.0 0.0183 00188 0.0192 0.0197 00202 0.0207 0 0212 0.0217 0.0222 0.0228 1.90 0233 0.0239 0 0244 0.0250 0 0256 0.0262 0.0268 00274 0.0281 0.028 1.8 0.0294 0.0301 0.0307 0.0314 0 0322 0 0329 0 0336 0.0344 0 0351 0 0359 1.7 0.0367 0 0375 0.0384 0.0392 0.0401 0.0409 0.0418 0 0427 00436 0.0446 1.6 0.0455 0.0465 0 0475 0.0485 0.0495 0.0505 0.0516 0.0526 0.0537 0.0548 1.5 0.0559 0.0571 0 0582 0.0594 0.0606 0 061 0.0630 0.0643 0.0655 0.0668 -1.4 0.0681 0.0694 0 0708 0.0721 0 0735 0.0749 0 0764 0.0778 0.0793 0 0808 -1.3 0.0823 0.0838 0.0853 0.0869 0 0885 0.0901 0.0918 0.0934 0.0951 00968 -1.2 00985 0.1003 0.1020 0.1038 0.1056 0.1075 0.1093 0.1112 0.1131 0.1151 -1.1 0.1170 0.1190 0.1210 0.1230 0.1251 0.12710.1292 0.1314 0.1335 0.1357 Print
Standard Normal Table (Page 1) 2.3 00084 0.0 0.0096 0.0099 0.0102 0.0104 0.01017 2.2 0.0110 0.0113 0.0116 0.011900122 0.0125 0.0129 00132 0.0136 0.0139 2.1 0.0143 0.0146 00150 0.0154 0.0158 0.0162 0 0166 00170 0.0174 0.0179 -2.0 0.0183 0.0188 0.0192 0.0197 0 0202 0 0207 0.0212 0.0217 0.0222 0.0228 1.9 0.0233 0.0239 00244 00250 0 0256 0.0262 0.0268 0.0274 0.0281 0.0287 0087 0.0089 0.0091 0.0094 1.8 0.0294 0.0301 0.0307 0.0314 0.0322 0 .0329 0.0336 0.0344 0.0351 0.0359 1.7 0.0367 0.0375 0.0384 00392 0 0401 0.0409 0.0418 00427 0.0436 0.0446 1.6 0.0455 0.0465 0.0475 00485 0 0495 0.0505 0.0516 0 0526 0.0537 0 0548 1.5 0.0559 0.0571 0.0582 0.0594 0.0606 0.0618 0 0630 0.0643 0 0655 0.0668 -1.4 0.0681 0.0694 0.0708 0 0721 0.0735 0 0749 00764 0.0778 0 0793 0 0808 1.3 0 0823 0.0838 0.0853 0.0869 0 0885 o0901 00918 0.0934 0.0951 0.0968 1.2 0.0985 0.1003 0 1020 0 1038 0.1056 0.1075 0.1093 0. 1112 0.1131 0.1151 1.1 0.1170 0.1190 0.1210 0.1230 0.1251 0.1271 0.1292 0.1314 0.1335 0.1357 1.0 0.1379 0. 1401 0.1423 0.1446 0.1469 0 1492 0.1515 0 1539 0.1562 0.1587 0.90.1611 0.1635 0 1660 0.1685 0.1711 0. 1736 0.1762 0.1788 0.1814 0.1841 0.8 0.1867 0.1894 0.1922 0.1949 0. 1977 0 2005 0 2033 0 2061 0.2090 0.2119 0.7 02148 0 2177 0.2206 0 2236 0.2266 0 2296 0.2327 0.2358 0 2389 0.2420 0.6 0 2451 0 2483 0 2514 0 2546 0.2578 0 2611 0.2643 02676 0.2709 0.2743 0.5 0.2776 0 2810 0 2843 0.2877 0.2912 0.2946 0 2981 0.3015 03050 0.3085 0.4 0.3121 0.3156 0.3192 0 3228 0 3264 0 3300 0.3336 0.3372 0.3409 0.3446 0.3 0.3483 0 3520 0 3557 0 3594 0 3632 03669 0.3707 0.3745 0.3783 0.3821 -0.2 0 3859 0.3897 0.3936 0 3974 0 4013 0.4052 0.4090 0.4129 0.4168 0.4207 0.1 0.4247 0.4286 0.4325 0.4364 0.4404 0.4443 0.4483 0.4522 0.4562 0.4602 -0.0 04641 04681 04721 0.4761 04801 0.4840 0.4880 0.4920 0.4960 0 5000
Standard Normal Table (Page 2) 35-4 0.00 0.01 0 0.03 0.04 0.05 0.06 0.7 008 009 0.0 0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5239 0.5279 0.5319 0.5359 0.1 0.5398 0.5438 0.5478 0.5517 0.5557 0.5596 0.5636 05675 0.5714 0.5753 0.2 0.5793 0.5832 0.5871 0.5910 0.5948 0.5987 0.6026 0.6064 0.6103 0.6141 0.3 0.6179 0.6217 0.6255 0.6293 0.6331 0.6368 0.6406 0.6443 0.6480 0.6517 0.4 0.6554 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 06808 0.6844 06879 0.5 0.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.7123 0 7157 0.7190 0.7224 0.6 0.7257 0.7291 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 0.7517 0.7549 0.7 0.7580 0.7611 0.7642 0.7673 0.7704 0.7734 0.7764 0.7794 0.7823 0.7852 0.8 0.7881 0.7910 0.7939 0.7967 0.799 5 0.8023 0.8051 0.8078 0.8106 0.8133 0.9 0.8159 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 0.8340 0 8365 0.8389 1.0 0.8413 0.8438 0.8461 0.8485 0.8508 0.8531 0.8554 0.8577 0.8599 0.8621 1.1 0.8643 0.8665 0.8686 0.8708 0.8729 0.8749 0.8770 0.8790 0.8810 0.8830 1.2 0.8849 0.8869 0.8888 0.8907 0.8925 0.8944 0.8962 0.8980 0 8997 0.9015 1.3 0.9032 0.9049 0.9066 0.9082 0.9099 0.9115 0.9131 0.9147 0.9162 0.9177 1.4 0.9192 0.9207 0.9222 0.9236 0.9251 0.9265 0.9279 0.9292 0.9306 0.9319 1.5 0.9332 0.9345 0.9357 0.9370 0.9382 0.9394 0.9406 0.9418 0.9429 0.9441 1.6 0.9452 0.9463 0.9474 0.9484 0.9495 0.9505 0.9515 0.9525 0.9535 0.9545 1.7 0.9554 0.9564 0.9573 0.9582 09591 0.9599 0.9608 0.9616 0.9625 0.9633 1.8 0.9641 0.9649 0.9656 0.9664 0.9671 0.9678 0.9686 0.9693 0.9699 0.9706 1.9 0.9713 0.9719 0.9726 0.9732 0.9738 0.9744 0.9750 0.9756 0.9761 0.97 2.0 0.9772 0.9778 0.9783 0.9788 0.9793 0.9798 0.9803 0.9808 0.9812 0.9817 2.1 0.9821 0.9826 0.9830 0.9834 0.9838 0.9842 0.9846 09850 0.9854 0.9857 2.2 0.9861 0.9864 0.9868 0.9871 0.9875 0.9878 0.9881 0.9884 0.9887 0.9890 2.3 10.9893 0.9896 0.9898 0.9901 0.9904 0.9906 0.9909 0.9911 0.9913 0.9916 2 Print Done
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Homework Answers

Answer #1

1]

The area between z = 0 and z = 1.4 under the standard curve = P( z = 1.4 ) - P( z = 0 )

   = 0.9192 - 0.5000

( these values obtained from given probability table )    = 0.4192

2]

The waiting time for a heart transplant is normally distributed with mean 203 and standard deviation = 25.2

a] Waiting time that represent the 5th percentile = 161.55 nearest integer = 162 days

Using Excel command "=NORMINV(0.05,203,25.2)", we get 161.55

b] Waiting time that represent the 3rd quartile = 219.99 nearest integer = 220 days

Using Excel command "=NORMINV(0.75,203,25.2)", we get 219.99

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