The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with mean 1252 and standard deviation 129 chips. (a) What is the probability that a randomly selected bag contains between 1100 and 1500 chocolate chips? (b) What is the probability that a randomly selected bag contains fewer than 1025 chocolate chips? (c) What proportion of bags contains more than 1200 chocolate chips? 'd) What is the percentile rank of a bag that contains 1450 chocolate chips? X Click the icon to view a table of areas under the normal curve. Tables of Areas under the Normal Curve TABLE V (a) The probability that a randomly selected bag contains between 1100 and 1500 chocolate chips is Standard Normal Distribution 00 .01 02 103 04 .05 .06 .07 .08 .09 (Round to four decimal places as needed.) -3.4 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0002 -33 0.0005 0.0005 0.0005 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 0.0003 (b) The probability that a randomly selected bag contains fewer than 1025 chocolate chips is -32 0.0007 0.0007 0.0006 0.0006 0.0006 0.0006 0.0005 0.0005 0.0005 (Round to four decimal places as needed.) -3.1 0.0010 0.0009 0.0009 0.0009 0.0008 0.0008 0.0008 0.0008 0.0007 0.0007 -3.0 0.0013 0.0013 0.0013 0.0012 0.0012 0.0011 0.0011 0.0011 0.0010 0.0010 -29 0.0019 0.0018 0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 0.0014 0.0014 (c) The proportion of bags that contains more than 1200 chocolate chips is 0.0026 0.0025 0.0024 0.0023 0.0023 0.0022 0.0021 0.0021 0.0020 61000 -2.7 0.0035 0.0034 0.0033 0.0032 0.0031 0.0030 0.0029 0.0028 0.0027 0.0026 (Round to four decimal places as needed.) -26 0.0047 0.0045 0.0044 0.0043 0.0041 0.0040 0.0039 0.0038 0.0037 0.0036 -25 0.0062 0.0060 0.0059 0.0057 0.0055 0.0054 0.0052 0.0051 0.0049 0.0048 (d) A bag that contains 1450 chocolate chips is in the th percentile. -2.4 0.0082 0.0080 0.0078 0.0073 0.0071 0.0069 0.0068 0.0066 0:0064 0.0107 0.0104 0.0102 2 0.0099 0.0096 0.0094 0.0091 0.0089 0.0087 0.0084 (Round to the nearest integer as needed.) -2.2 0.0139 0.0136 0.0132 0.0129 0.0125 0.0122 0.0119 0.0116 0.0113 -21 0.0179 0.0174 0.0170 0.0166 0.0162 0.0158 0.0154 0.0150 0.0146 0.0143 -20 0.0228 0.02.22 0.0217 0 0.0212 0.0207 0.0202 0.0197 0.0192 0.0188 0.0183 -1.9 0.0287 0.0281 0.0274 0.0268 0 0.0262 0.0256 0.0250 0.0244 0.0239 0.0233 -18 0.0359 0.0351 0.0344 0.0336 0.0329 0.0322 0.0314 0.0307 0.0601 0.0294 -1,7 0.0446 0.0436 0.0427 0.0418 0 0.0401 0.0392 0.0384 0.0367 -16 0.0548 0.0537 0.0526 0.0516 0 0.0505 0.0495 0.0485 0.0475 0.0465 0.0435 .15 0.0668 0.0655 0.0643 0.0630 0 0.0618 0.0606 0.0594 0.0582 0.0571 0.0559 -14 0.0808 0.0793 0.0778 0.0764 0.0749 0.0735 0 0.0721 0.0708 0.0694 0.0681 -1.3 0.0968 0.0951 0.0934 0.0918 0.0901 0.0885 0.0569 0.0853 0.0838 0.0823 -1.2 0.1151 01131 0.1112 0.1093 0.1075 0.1056 0.1038 0.1020 0.1003 0.0985 -1.1 0.1357 0.1335 0.1314 0.1292 0.1271 0.1251 0.1230 0.1210 0.1190 0.1170 -1.0 0:1587 0.1562 0.1539 0.1515 0.1492 0.1469 0.1446 0.1423 0.1401 0.1379 -0.9 0.1841 0.1814 0.1788 0.1762 0.1736 0.1711 0.1685 0.1660 0.1635 0.1611 -0.8 0.2119 0.2090 0.2061 0.2033 02005 0.1977 0.1949 0.1922 0.1894 0.1867 -0.7 0.2420 0.2389 0.2358 0.2327 0.2296 0.2266 0 2236 0.2206 02177 0.2148 -0.6 0.2743 0.2709 0.2676 02643 0.2611 02578 0.7546 0.2514 0.2483 0.2451 -05 0.3085 0.3050 0.3015 0.2946 0.2912 02577 02343 0.2810 0.2776 -0.A 0 3446 03409 0.3372 0.3336 0.3300 0 3264 0 3228 0.3192 03156 0.3121 0.3821 0.3783 0.3745 0.3707 0.3669 0.3632 0.3594 03557 0.3520 0.3483 -0.2 0.4207 0.4168 0.4129 0.4090 0.4052 0.4013 0.3974 0.3936 0.3897 03859 0.4602 0.4562 0.4483 0.4443 0.4404 0.4364 0.4325 0.4286 0.4247 -0.0 0.5000 0.4960 0.4920 0.4880 0.4840 0.4801 0.4761 0.4721 0.4681 0.4641 0.0 0.5000 0.5040 05050 0.5120 0.5160 05199 0 5239 0.5279 0.5319 0.5359 0.5398 0.5438 78 0.5517 70.5557 05596 05636 0.5675 05714 0.5753 0.2 05793 0.5832 05871 0.5910 05948 0.5987 0.6026 0.6064 0.6103 0.6141 03 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 0.6808 0.6844 0.6879 0.5 0.6915 0.6950 0.6935 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 0.7881 0.7910 0.7939 0.7967 0.7995 0.8023 1 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 0.8599 0.8621 1.1 0.8643 0.8665 0.8686 0.8708 0.8729 12 0.8749 0.8770 0.8790 0.8810 0.8830 0.8319 0.8869 0.8907 0.8925 0.8944 0.8962 0.8980 0.8997 0.9015