The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 264.7 and a standard deviation of 67.4. (All units are 1000 cells/jL.) Using the empirical rule, find each approximate percentage below. a. What is the approximate percentage of women with platelet counts within 2 standard deviations of the mean, or between 129.9 and 399.5? b. What is the approximate percentage of women with platelet counts between 197.3 and 332.1?Using the accompanying table of data, blood platelet counts of women have a bellshaped distribution with a mean of 255.0 and a standard deviation of 65.3. (All units are 1000 cellslpL.} Using Chebyshev's theorem. what is known about the percentage of women with platelet counts that are within 2 standard deviations of the mean? What are the minimum and maximum possible platelet counts that are within 2 standard deviations of the mean? \fA normal distn'bution is informally described as a probability distribution that is "bellshaped" when graphed. Draw a rough sketch of a curve having the bell shape that l5 characteristic of a normal distribution. The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 9 minutes. Find the probability that a randomly selected passenger has a waiting time greater than 2.25 minutes. Find the area of the shaded region. The graph depicts the standard normal distribution with mean 0 and standard deviation 1. Click to view page 1 of the table. Click to view page 2 of the table. Z=0.72NEGATIVE z Scores Standard Normal (z) Distribution: Cumulative Area from the LEFT OO .01 02 .03 .04 .05 .06 07 08 .09 -3.50 and lower 0001 -3.4 .0003 0003 .0003 0003 0003 .0003 0003 0003 .0003 .0002 -3.3 .0005 0005 .0005 .0004 .0004 0004 0004 .0004 0004 .0003 -3.2 0007 .0007 .0006 .0006 .0006 .0006 0006 .0005 .0005 .0005 -3.1 0010 0009 .0009 .0009 .0008 .0008 0008 .0008 0007 0007 -3.0 0013 0013 .0013 .0012 0012 ,0011 .0011 0010 .0010 -2.9 .0019 .0018 .0018 .0017 .0016 .0016 .0015 .0015 .0014 .0014 -2.8 .0026 .0025 .0024 .0023 -0023 .0022 0021 .0021 .0020 .0019 -2.7 .0035 .0034 .0033 .0032 .0031 .0030 0029 .0028 .0027 .0026 -2.6 .0047 0045 .0044 .0043 .0041 .0040 0039 .0038 0037 0036 -2.5 0062 0060 .0059 .0057 0055 .0054 0052 0051 .0049 .0048 -2.4 .0082 .0080 .0078 .0075 .0073 .0071 -0069 .0068 .0066 .0064 -2.3 .0107 0104 .0102 .0099 0096 .0094 0091 .0089 .0087 .0084 -2.2 .0139 .0136 .0132 .0129 .0125 0122 .0119 .0116 .0113 .0110 -2.1 .0179 0174 .0170 .0166 .0162 .0158 .0154 .0150 0146 .0143-2.0 .0228 10222 .0217 .0212 0207 .0202 .0197 .0192 .0188 .0183 -1.9 0287 0281 .0274 .0268 .0262 .0256 0250 0244 .0239 .0233 -1.8 .0359 .0351 .0344 .0336 .0329 .0322 .0314 .0307 .0301 .0294 -1.7 0446 0436 0427 .0418 0409 .0401 0392 0384 .0375 0367 -1.6 0548 0537 0526 0516 0505 * .0495 0485 0475 .0465 0455 -1.5 .0668 .0655 0643 0630 0618 .0606 0594 .0582 .0571 .0559 -1.4 .0808 .0793 0778 .0764 .0749 .0735 0721 .0708 .0694 0681 -1.3 .0968 0951 0934 .0918 0901 .0885 0869 .0853 0838 0823 -1.2 .1151 1131 .1112 1093 1075 1056 .1038 1020 1003 0985 -1.1 .1357 .1335 1314 1292 .1271 .1251 .1230 .1210 1190 1170 -1.0 .1587 1562 1539 .1515 1492 .1469 1416 .1423 1401 .1379 -0.9 1841 1814 1788 1762 1736 .1711 1685 1660 1635 .1611 -0.8 .2119 2090 2061 2033 2005 1977 .1949 .1922 1894 1867 -0.7 2420 2389 2358 2327 .2296 .2266 2236 2206 2177 2148 -0.6 2743 2709 2676 .2643 .2611 .2578 2546 .2514 .2483 .2451 -0.5 .3085 3050 .3015 .2981 .2946 .2912 2877 .2843 2810 .2776 -0.4 3446 3409 .3372 .3336 3300 .3264 3228 .3192 .3156 3121 -0.3 .3821 3783 3745 3707 .3669 .3632 3594 .3557 3520 3483 -0.2 4207 .4168 4129 4090 .4052 .4013 3974 .3936 .3897 3859 -0.1 .4602 .4562 .4522 .4483 .4443 .4404 4364 .4325 .4286 .4247 -0.0 .5000 -4960 .4920 .4880 .4840 .4801 4761 .4721 .4681 .4641 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\f1.7 .9554 .9564 .9573 9582 .9591 .9599 .9608 9616 .9625 .9633 1.8 .9641 .9649 .9656 9664 .9671 .9678 .9686 9693 .9699 .9706 1.9 .9713 9719 .9726 9732 9738 9744 9750 9756 9761 9767 2.0 .9772 .9778 .9783 .9788 .9793 .9798 .9803 9808 9812 .9817 2.1 .9821 .9826 .9830 .9834 .9838 .9842 .9846 .9850 .9854 .9857 2.2 .9861 9864 9868 9871 .9875 .9878 .9881 .9884 .9887 .9890 2.3 .9893 .9896 .9898 .9901 .9904 .9906 .9909 .9911 .9913 .9916 24 .9918 9920 9922 9925 .9927 9929 .9931 9932 9934 .9936 2.5 .9938 9940 .9941 9943 .9945 .9946 9948 9949 .9951 9952 2.6 .9953 .9955 .9956 9957 .9959 .9960 .9961 9962 .9963 9964 2.7 .9965 .9966 .9967 .9968 .9969 .9970 .9971 .9972 9973 .9974 2.8 .9974 .9975 .9976 .9977 .9977 .9978 .9979 9979 .9980 .9981 2.9 .9981 9982 .9982 9983 .9984 9984 .9985 9985 9986 .9986 3.0 .9987 .9987 9987 9988 .9988 .9989 .9989 .9989 9990 .9990 3.1 .9990 .9991 .9991 .9991 .9992 .9992 .9992 9992 .9993 .9993 3.2 .9993 9993 9994 9994 .9994 9994 .9994 .9995 .9995 .9995 3 3 .9995 .9995 .9995 9996 .9996 .9996 .9996 .9996 9996 .9997 34 9997 9997 9997 9997 9997 9997 9997 9997 .9997 9998 3.50 .9999 and up NOTE: For values of z above 3.49, use 0.9999 for the area. Common Critical Value "Use these common values that result from interpolation: Confidence | Critical z score Area Level Value 1.645 0.9500 0.90 1,645 2.575 0.9950 0.95 1.96 0.99 2.575Find the area of the shaded region. The graph depicts the standard normal distribution of bone density scores with mean 0 and standard deviation 1. 2: D.94 z 1.23 Find the indicated 2 score. The graph depicts the standard normal distribution with mean 0 and standard deviation 1. 0.2451 Find the indicated 2 score. The graph depicts the standard normal distribution with mean 0 and standard deviation 1. 0.1492 Assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. Find the probability that a given score Is less than 1 6? and draw a sketch of the region