I need help with this please Areas under the Normal Curve-2.6 0.0047 0.0045 0.0044 0.0043 0.0041 0.0040 0.0039 0.0038Z.00.01.02.03.04.05.06 .07.08.09-3.4 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0002 -3.4-3.3 0.0005 0.0005 0.0005 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 0.0003 -3.3-3.2 0.0007 0.0007 0.0006 0.0006 0.0006 0.0006 0.0006 0.0005 0.0005-3.1 0.0010 0.0009 0.00090.0009 0.0008 0.0008 0.0008 0.0008 0.0007-3.0 0.0013 0.0013 0.0013 0.0012 0.0012 0.0011 0.0011 0.0011 0.0010-2.9 0.0019 0.0018 0.0018 0.0017 0.0016 0.0016 0.0015 0.0015-2.8 0.0026 0.0025 0.0024 0.0023 0.0023 0.0022 0.0021 0.0021-2.7 0.0035 0.0034 0.0033 0.0032 0.0031 0.00300.0029 0.0028Areas under the Normal Curvez.03.040.00.0005 -3.20.1-2.5 0.0062 0.0060 0.0059 0.0057-2.4 0.0082 0.0080 0.0078 0.0075-2.3 0.0107 0.0104 0.0102 0.0099-2.2 0.0139 0.0136 0.0132 0.0129-2.1 0.0179 0.0174 0.0170 0.0166-2.0 0.0228 0.0222 0.0217 0.02120.01620.0207Z.00.01.020.0007 -3.10.0010 -3.00.0014 0.0014 -2.90.0020 0.0019 -2.80.0027 0.0026 -2.70.0037 0.0036 -2.60.0051 0.0049 0.0048 -2.50.0073 0.0071 0.0069 0.0068 0.0066 0.0064 -2.40.0096 0.0094 0.0091 0.00890.0087 0.0084 -2.30.0125 0.0122 0.0119 0.0116 0.0113 0.0110 -2.20.0154 0.0150 0.0146 0.0143 -2.10.0197 0.0192 0.0188 0.0183 -2.0-1.9 0.0287 0.0281 0.0274 0.0268 0.0262 0.02560.0250 0.0244 0.0239 0.0233 -1.9-1.8 0.0359 0.0351 0.0344 0.0336 0.0329 0.0322 0.0314 0.0307 0.0301 0.0294 -1.8-1.7 0.0446 0.0436 0.0427 0.0418 0.0409 0.0401 0.0392 0.0384 0.0375 0.0367 -1.7-1.6 0.0548 0.0537 0.0526 0.05160.0505 0.0495 0.04850.04750.0465 0.0455 -1.6-1.5 0.0668 0.0655 0.0643 0.0630 0.0618 0.0606 0.0594 0.0582 0.0571 0.0559 -1.5-1.4 0.0808 0.0793 0.0778 0.0764 0.0749 0.0735 0.0721 0.0708 0.0694 0.0681 -1.4-1.3 0.0968 0.0951 0.0934 0.09180.0901 0.0885 0.0869 0.0853 0.0838 0.0823 -1.3-1.20.1151 0.1131 0.1112 0.10930.1075 0.1056 0.1038 0.1020 0.1003 0.0985 -1.2-1.1 0.1357 0.1335 0.1314 0.1292 0.1271 0.1251 0.1230 0.1210 0.1190 0.1170 -1.1-1.0 0.1587 0.1562 0.1539 0.1515 0.1492 0.1469 0.1446 0.1423 0.1401 0.1379 -1.0-0.9 0.1841 0.1814 0.1788 0.1762 0.1736 0.17110.1685 0.1660 0.1635 0.1611 -0.9-0.8 0.2119 0.2090 0.2061 0.2033 0.2005 0.1977 0.1949 0.1922 0.1894 0.1867 -0.8-0.7 0.2420 0.2389 0.2358 0.2327 0.2296 0.2266 0.2236 0.2206 0.2177 0.2148 -0.7-0.6 0.2743 0.2709 0.2676 0.2643 0.2611 0.2578 0.2546 0.2514 0.2483 0.2451 -0.6-0.5 0.3085 0.3050 0.3015 0.2981 0.2946 0.2912 0.2877 0.2843 0.2810 0.2776 -0.5-0.4 0.3446 0.3409 0.3372 0.3336 0.3300 0.3264 0.3228 0.3192 0.3156 0.3121 -0.4-0.3 0.3821 0.3783 0.3745 0.3707 0.3669 0.3632 0.3594 0.3557 0.3520 0.3483 -0.3-0.2 0.4207 0.4168 0.4129 0.40900.4052 0.4013 0.3974 0.39360.3897 0.3859 -0.2-0.1 0.4602 0.4562 0.4522 0.44830.4443 0.4404 0.43640.43250.4286 0.4247 -0.1-0.0 0.5000 0.4960 0.4920 0.4880 0.4840 0.4801 0.4761 0.4721 0.4681 0.4641 -0.0.03.04.05.06.07.08.090.20.0055 0.0054 0.00520.01580.0202¡A2V--‹ ›0 €2.93.33.42.00.01.02.08.090.5000 0.5040 0.50800.5319 0.5359 0.00.5398 0.5438 0.5478 0.5517 0.5557 0.5596 0.5636 0.5675 0.5714 0.5753 0.10.5793 0.5832 0.5871 0.5910 0.5948 0.5987 0.6026 0.6064 0.6103 0.6141 0.20.3 0.6179 0.6217 0.6255 0.6293 0.6331 0.6368 0.6406 0.6443 0.6480 0.6517 0.30.4 0,6554 0.6591 0.6628 0.6664 0.6700 0,6736 0.6772 0.6808 0.6844 0.68790.5 0.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.7123 0.7157 0.7190 0.72240.6 0.7257 0.7291 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 0.7517 0.7549 0.60.7 0.7580 0.7611 0.7642 0.7673 0.7704 0.7734 0.7764 0.7794 0.7823 0.7852 0.70.8 0.7881 0.7910 0.7939 0.7967 0.7995 0.8023 0.8051 0.8078 0.8106 0.8133 0.80.9 0.8159 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 0.8340 0.8365 0.8389 0.91.0 0.8413 0.8438 0.8461 0.8485 0.8508 0.8531 0.8554 0.8577 0.8599 0.8621 1.01.1 0.8643 0.8665 0.8686 0.8708 0.8729 0.8749 0.8770 0.8790 0.8810 0.8830 1.11.2 0.8849 0.8869 0.8888 0.8907 0.8925 0.8944 0.8962 0.8980 0.8997 0.9015 1.21.3 0.9032 0.9049 0.9066 0.9082 0.9099 0.9115 0.9131 0.9147 0.9162 0.9177 1.31.4 0.9192 0.9207 0.9222 0.9236 0.9251 0.9265 0.9279 0.9292 0.9306 0.9319 1.41.5 0.9332 0.9345 0.9357 0.9370 0.9382 0.9394 0.9406 0.9418 0.9429 0.9441 1.51.6 0.9452 0.9463 0.9474 0.9484 0.9495 0.9505 0.9515 0.9525 0.9535 0.9545 1.61.7 0.9554 0.9564 0.9573 0.9582 0.9591 0.9599 0.9608 0.9616 0.9625 0.9633 1.71.8 0.9641 0.9649 0.9656 0.9664 0.9671 0.9678 0.9686 0.9693 0.9699 0.9706 1.81.9 0.9713 0.9719 0.9726 0.9732 0.9738 0.9744 0.9750 0.9756 0.9761 0.9767 1.92.0 0.9772 0.9778 0,9783 0.9788 0.9793 0.9798 0.9803 0.9808 0.9812 0.9817 2.02.1 0.9821 0.9826 0.9830 0.9834 0.9838 0.9842 0.9846 0.9850 0.9854 0.9857 2.12.2 0.9861 0.9864 0.9868 0.9871 0.9875 0.9878 0.9881 0.9884 0.9887 0.9890 2.22.3 0.9893 0.9896 0.9898 0.9901 0.9904 0.9906 0,9909 0.9911 0.9913 0.9916 2.32.4 0.9918 0.9920 0.99220.9925 0.9927 0.9929 0.9931 0.9932 0.9934 0.9936 2.42.5 0.9938 0.9940 0.9941 0.9943 0.9945 0.9946 0.9948 0.9949 0.9951 0.9952 2.52.6 0.9953 0.9955 0.9956 0.9957 0.9959 0.9960 0.9961 0.9962 0.9963 0.9964 2.62.7 0.9965 0.9966 0.9967 0.9968 0.9969 0.9970 0.9971 0.9972 0.9973 0.9974 2.72.8 0.9974 0.9975 0.9976 0.9977 0.9977 0.9978 0.9979 0.9979 0.9980 0.9981 2.80.9981 0.9982 0.9982 0.9983 0.9984 0.9984 0.9985 0.9985 0.9986 0.9986 2.93.0 0.9987 0.9987 0.9987 0.9988 0.9988 0.9989 0.9989 0.9989 0.9990 0.9990 3.03.1 0.9990 0.9991 0.9991 0.9991 0.9992 0.9992 0.9992 0.9992 0.9993 0.9993 3.13.2 0.9993 0.9993 0.9994 0.9994 0.9994 0.9994 0.9994 0.9995 0.9995 0.9995 3.20.9995 0.9995 0.9995 0.9996 0.9996 0.9996 0.9996 0.99963.30.9996 0.99970.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9998 3.4.00.01.02 .03.04.05.06.05.070.5120 0.5160 0.5199 0.5239 0.5279.06名0.40.5.07.08.09 A random sample of size 49 is taken from a normal population having a mean of 80 and a standard deviation of 3. Asecond random sample of size 25 is taken from a different normal population having a mean of 65 and a standarddeviation of 6. Find the probability that the sample mean computed from the 49 measurements will exceed thesample mean computed from the 25 measurements by at least 13.2 but less than 16.1. Assume the difference of themeans to be measured to the nearest tenth.Click here to view page 1 of the standard normal distribution table.Click here to view page 2 of the standard normal distribution table.The probability is(Round to four decimal places as needed.)

Let X= The rv that denotes the first normal populationSample size, Mean, Sd, Let Y= The rv that…

A random sample of size 49 is taken from a normal population having a mean of 80 and a standard deviation of 3. A second random sample of size 25 is taken from a different normal population having a mean of 65 and a standard deviation of 6. Find the probability that the sample mean computed from the 49 measurements will exceed the sample mean computed from the 25 measurements by at least 13.2 but less than 16.1. Assume the difference of the means to be measured to the nearest tenth. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. The probability is ☐ (Round to four decimal places as needed.)