Question 1 (3 points) Listen The average lifespan of a type of a deer is 10 years with a standard deviation of 3.7 years. Find the probability that a random sample of 36 deer will have a mean lifespan between 8 and 11 years. [3 marks] Round your final answer to four decimal places. Tables1 /3 90% + NEGATIVE z Scores Table A-4 Standard Normal (z) Distribution: Cumulative Area from the LEFT .00 01 07 and 000 0003 3003 0003 10003 0003 10003 0003 40 02 0005 Oo05 BLOOD 0004 0003 0007 .0006 40D06 0006! 0006 0005 .0005 0010 loops .0009 0008 10008 0908 10008 0007 3.0 -0013 0013 .0013 0012 - 00 12 LILY 1001 1 001 1 .001 1 .0010 20010 -0019 001 8 _0018 .0017 -0016 10016 10015 0015 WOO14 .0026 0025 0024 0023 0023 -0022 002 1 002 1 .0020 0019 .0035 0034 0033 0032 003 1 10030 0029 0028 40027 0026 .0047 .0045 0044 0043 .004 1 0039 0038 0037 0036 0062 0060 0057 O054 0052 0051 -0049 0048 0082 0078 0075 ,0069 -0068 40066 0064 0107 0104 10102 0099 -0096 0089 40087 0139 0136 .0132 20129 0125 .0122 9119 -01 16 -0113 01 10 .0179 0174 -0170 0166 0162 0158 -0154 0150 -0146 -0143 -2.0 0228 0222 02 1 .0212 0207 .0202 0197 0192 0188 0183 1.9 10287 0281 027 JO268 0262 0256 0250 -0244 0239 -0233 18 0359 0351 1344 0336 .0329 .0322 031 0307 10301 -0294 -17 0446 0436 0427 -0418 0409 .0401 0384 0375 0367 -1.6 0548 0537 0526 0516 0505 -0495 0485 -0475 0465 ,0455 -15 .0668 0655 0643 0618 0606 0594 0582 L0559 0694 0681 1.4 0808 0793 -0778 0754 .0749 .0735 -0721 0708 0823 -1.3 0968 .0951 .0834 -0918 0901 0885 0869 10853 0838 1 2 -1151 -1131 1 112 1093 -1075 .1056 1038 1020 1005 0985 -1357 1314 1292 1271 1251 1230 1210 1335 -1190 1170 -1.1 1562 1539 1515 1492 1469 1446 1423 1401 1379 -1.0 1587 -0.9 1841 1814 1788 1762 1736 1711 1685 1635 1611 0.8 2119 2090 2061 2033 2005 -1977 1949 1922 1894 1867 2327 2296 2266 2236 2206 2177 2148 -0.7 2420 2389 2358 2643 2611 2578 2546 2514 2483 2451 -0.6 2743 2709 2676 -0.5 3085 3050 3015 2981 2946 2912 2877 2843 2810 2776 3156 3121 -0.4 3446 3409 3372 3336 3300 3264 3228 3192 3594 3557 3520 3483 -0.3 3821 3783 3745 3707 3669 3632 3974 3936 3897 3859 -02 4207 4168 4129 4090 4052 4013 4562 4522 4483 4443 4404 4364 4325 4286 4247 4602 4761 -4721 4681 4641 4801 -0.0 .5000 4960 4920 4880 4840 NOTE: For values of z below -3.49, use 0.0001 for the area Use these common values that result from interpolation: z score Area 1.645 0.0500 2.575 0.0050 DELL