I need help with this please The random variable X, representing the number of cherries in a cherry puff, has the probability distribution shown.xP(X = x)+34560.10.40.30.2Complete parts (a) through (c) below.Click here to view page 1 of the standard normal distribution table.Click here to view page 2 of the standard normal distribution table.(a) Find the mean μ and the variance o² of X.μ=o² =(Type an integer or a decimal. Do not round.)(Type an integer or a decimal. Do not round.)(b) Find the mean μx and the variance σ of the mean X for random samples of 36 cherry puffs.(Type an integer or a decimal. Do not round.)6² = □ (Round to three decimal places as needed.)(c) Find the probability that the average number of cherries in 36 cherry puffs will be less than 4.9.The probability is(Round to four decimal places as needed.) الهاAreas under the Normal Curve 2.00Areas under the Normal Curve.01.02.03.040.01290.4443.01.02.04z.00.01.02.03.04.05.06.07-3.4 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003-3.3 0.0005 0.0005 0.0005 0.0004 0.0004 0.0004 0.0004 0.0004-3.2 0.0007 0.0007 0.0006 0.0006 0.0006 0.0006 0.0006 0.00050.0010 0.0009-3.10.0009 0.0009 0.0008 0.0008 0.0008-3.0 0.0013 0.0013 0.0013 0.0012 0.0012 0.0011 0.0011-2.9 0.0019 0.0018 0.0018 0.0017 0.0016 0.0016 0.0015-2.8 0.0026 0.0025 0.0024 0.0023 0.0023 0.0022 0.0021-2.7 0.0035 0.0034 0.0033 0.0032 0.00310.0030 0.0029 0.0028 0.0027 0.0026 -2.7-2.60.0047 0.0045 0.0044 0.0043 0.0041 0.0040 0.0039 0.0038 0.0037 0.0036 -2.6-2.5 0.0062 0.0060 0.0059 0.0057 0.0055 0.0054 0.0052 0.0051 0.0049 0.0048 -2.5-2.4 0.00820.0078 0.00750.00800.0073 0.0071 0.0069 0.0068 0.0066 0.0064 -2.4-2.3 0.0107 0.0104 0.0102 0.0099 0.0096 0.0094 0.0091 0.0089 0.0087 0.0084 -2.3-2.2 0.0139 0.0136 0.01320.0125 0.0122 0.0119 0.0116 0.0113 0.0110 -2.2-2.1 0.0179 0.0174 0.0170 0.01660.0162 0.0158 0.0154 0.0150 0.0146 0.0143 -2.1-2.0 0.0228 0.0222 0.0217 0.0212 0.0207 0.0202 0.0197 0.0192 0.0188 0.0183 -2.0-1.90.02810.02870.02680.02740.0262 0.0256 0.02500.02390.02440.0233 -1.9-1.8 0.0359 0.0351 0.0344 0.0336 0.0329 0.0322 0.0314 0.0307 0.0301 0.0294 -1.8-1.70.0436 0.0427 0.04180.04460.0409 0.04010.0384 0.0375 0.03670.0392-1.7-1.6 0.0548 0.0537 0.0526 0.0516 0.0505 0.0495 0.0485 0.0475 0.0465 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 0.09510.0918 0.0901 0.08850.09340.0869 0.0853 0.0838 0.0823 -1.3-1.2 0.1151 0.1131 0.1112 0.1093 0.1075 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 0.12100.1190-1.10.1170-1.00.1587 0.1562 0.1539 0.1515 0.1492 0.1469 0.1446 0.1423 0.1401 0.1379 -1.00.18410.1788 0.17620.18140.1736 0.1711 0.1685 0.1660-0.90.1611 -0.90.1635-0.8 0.21190.2061 0.2033 0.20050.20900.1977 0.1949 0.1922 0.1894-0.80.1867-0.7 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 0.42070.40900.40130.39740.41680.38970.41290.3859 -0.20.40520.39360.46020.4483-0.10.45620.43640.45220.4325 0.42860.4404-0.10.4247-0.0 0.5000 0.4960 0.4920 0.4880 0.4840 0.4801 0.4761 0.4721 0.4681 0.4641 -0.0.00.03.05.06.07.08.08.0920.0003 0.0002 -3.40.0004 0.0003 -3.30.0005 0.0005 -3.20.0008 0.0007 0.0007 -3.10.0011 0.0010 0.0010 -3.00.0015 0.00140.30.0021 0.00200.0014 -2.90.0019 -2.81.61.71.81.92.11+2.9 0.99813.03.1.070.0 0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5239 0.5279 0.53190.1 0.5398 0.5438 0.5478 0.5517 0.5557 0.5596 0.5636 0.5675 0.57140.2 0.5793 0.5832 0.5871 0.5910 0.5948 0.5987 0.6026 0.6064 0.61030.6179 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 0.6879 0.40.5 0.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.7123 0.7157 0.7190 0.7224 0.50.6 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 0.78810.7910 0.7939 0.7967 0.7995 0.8023 0.8051 0.8078 0.8106 0.8133 0.80.9 0.81590.8186 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 1.00.86431.10.8665 0.8686 0.87080.87490.87290.8770 0.8790 0.88101.10.88301.2 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 1.50.94630.94520.9474 0.9484 0.9495 0.9505 0.95151.60.9525 0.9535 0.95450.9554 0.9564 0.9573 0.9582 0.9591 0.9599 0.9608 0.9616 0.9625 0.9633 1.70.9649 0.96560.96410.9664 0.96710.96930.9678 0.96860.97060.96991.80.9713 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 2.00.9821 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 0.99110.9913 0.9916 2.32.4 0.9918 0.9920 0.9922 0.9925 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 0.99610.9963 0.99640.99622.60.99652.70.9966 0.9967 0.99680.99700.99690.9971 0.9972 0.9973 0.9974 2.7回 2.8 0.9974 0.9975 0.9976 0.9977 0.9977 0.9978 0.9979 0.9979 0.9980 0.9981 2.80.9982 0.9982 0.9983 0.9984 0.9984 0.99850.9987 0.9987 0.9987 0.9988 0.9988 0.9989 0.99890.9990 0.9991.05.06.08.090.5359 0.00.5753 0.10.6141 0.20.9985 0.9986 0.9986 2.9A3.23.3A 3.40.9991 0.9991 0.9992 0.9992 0.99920.9993 0.9993 0.9994 0.9994 0.9994 0.9994 0.9994 0.9995 0.9995 0.9995 3.20.9989 0.9990 0.9990 3.00.9992 0.9993 0.9993 3.120.9995 0.99950.9997 0.9997.00.010.9995 0.99960.9997 0.9997.02.030.99960.99960.99970.99970.99960.9997.04.05.060.9996 0.99960.9997 0.9997.07.080.99970.9998.093.33.4.092

Question

I need help with this please The random variable X, representing the number of cherries in a cherry puff, has the probability distribution shown.xP(X = x)+34560.10.40.30.2Complete parts (a) through (c) below.Click here to view page 1 of the standard normal distribution table.Click here to view page 2 of the standard normal distribution table.(a) Find the mean μ and the variance o² of X.μ=o² =(Type an integer or a decimal. Do not round.)(Type an integer or a decimal. Do not round.)(b) Find the mean μx and the variance σ of the mean X for random samples of 36 cherry puffs.(Type an integer or a decimal. Do not round.)6² = □ (Round to three decimal places as needed.)(c) Find the probability that the average number of cherries in 36 cherry puffs will be less than 4.9.The probability is(Round to four decimal places as needed.) الهاAreas under the Normal Curve> >2.00Areas under the Normal Curve.01.02.03.040.01290.4443.01.02.04z.00.01.02.03.04.05.06.07-3.4 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003-3.3 0.0005 0.0005 0.0005 0.0004 0.0004 0.0004 0.0004 0.0004-3.2 0.0007 0.0007 0.0006 0.0006 0.0006 0.0006 0.0006 0.00050.0010 0.0009-3.10.0009 0.0009 0.0008 0.0008 0.0008-3.0 0.0013 0.0013 0.0013 0.0012 0.0012 0.0011 0.0011-2.9 0.0019 0.0018 0.0018 0.0017 0.0016 0.0016 0.0015-2.8 0.0026 0.0025 0.0024 0.0023 0.0023 0.0022 0.0021-2.7 0.0035 0.0034 0.0033 0.0032 0.00310.0030 0.0029 0.0028 0.0027 0.0026 -2.7-2.60.0047 0.0045 0.0044 0.0043 0.0041 0.0040 0.0039 0.0038 0.0037 0.0036 -2.6-2.5 0.0062 0.0060 0.0059 0.0057 0.0055 0.0054 0.0052 0.0051 0.0049 0.0048 -2.5-2.4 0.00820.0078 0.00750.00800.0073 0.0071 0.0069 0.0068 0.0066 0.0064 -2.4-2.3 0.0107 0.0104 0.0102 0.0099 0.0096 0.0094 0.0091 0.0089 0.0087 0.0084 -2.3-2.2 0.0139 0.0136 0.01320.0125 0.0122 0.0119 0.0116 0.0113 0.0110 -2.2-2.1 0.0179 0.0174 0.0170 0.01660.0162 0.0158 0.0154 0.0150 0.0146 0.0143 -2.1-2.0 0.0228 0.0222 0.0217 0.0212 0.0207 0.0202 0.0197 0.0192 0.0188 0.0183 -2.0-1.90.02810.02870.02680.02740.0262 0.0256 0.02500.02390.02440.0233 -1.9-1.8 0.0359 0.0351 0.0344 0.0336 0.0329 0.0322 0.0314 0.0307 0.0301 0.0294 -1.8-1.70.0436 0.0427 0.04180.04460.0409 0.04010.0384 0.0375 0.03670.0392-1.7-1.6 0.0548 0.0537 0.0526 0.0516 0.0505 0.0495 0.0485 0.0475 0.0465 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 0.09510.0918 0.0901 0.08850.09340.0869 0.0853 0.0838 0.0823 -1.3-1.2 0.1151 0.1131 0.1112 0.1093 0.1075 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 0.12100.1190-1.10.1170-1.00.1587 0.1562 0.1539 0.1515 0.1492 0.1469 0.1446 0.1423 0.1401 0.1379 -1.00.18410.1788 0.17620.18140.1736 0.1711 0.1685 0.1660-0.90.1611 -0.90.1635-0.8 0.21190.2061 0.2033 0.20050.20900.1977 0.1949 0.1922 0.1894-0.80.1867-0.7 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 0.42070.40900.40130.39740.41680.38970.41290.3859 -0.20.40520.39360.46020.4483-0.10.45620.43640.45220.4325 0.42860.4404-0.10.4247-0.0 0.5000 0.4960 0.4920 0.4880 0.4840 0.4801 0.4761 0.4721 0.4681 0.4641 -0.0.00.03.05.06.07.08.08.0920.0003 0.0002 -3.40.0004 0.0003 -3.30.0005 0.0005 -3.20.0008 0.0007 0.0007 -3.10.0011 0.0010 0.0010 -3.00.0015 0.00140.30.0021 0.00200.0014 -2.90.0019 -2.81.61.71.81.92.11+2.9 0.99813.03.1.070.0 0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5239 0.5279 0.53190.1 0.5398 0.5438 0.5478 0.5517 0.5557 0.5596 0.5636 0.5675 0.57140.2 0.5793 0.5832 0.5871 0.5910 0.5948 0.5987 0.6026 0.6064 0.61030.6179 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 0.6879 0.40.5 0.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.7123 0.7157 0.7190 0.7224 0.50.6 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 0.78810.7910 0.7939 0.7967 0.7995 0.8023 0.8051 0.8078 0.8106 0.8133 0.80.9 0.81590.8186 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 1.00.86431.10.8665 0.8686 0.87080.87490.87290.8770 0.8790 0.88101.10.88301.2 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 1.50.94630.94520.9474 0.9484 0.9495 0.9505 0.95151.60.9525 0.9535 0.95450.9554 0.9564 0.9573 0.9582 0.9591 0.9599 0.9608 0.9616 0.9625 0.9633 1.70.9649 0.96560.96410.9664 0.96710.96930.9678 0.96860.97060.96991.80.9713 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 2.00.9821 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 0.99110.9913 0.9916 2.32.4 0.9918 0.9920 0.9922 0.9925 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 0.99610.9963 0.99640.99622.60.99652.70.9966 0.9967 0.99680.99700.99690.9971 0.9972 0.9973 0.9974 2.7回 2.8 0.9974 0.9975 0.9976 0.9977 0.9977 0.9978 0.9979 0.9979 0.9980 0.9981 2.80.9982 0.9982 0.9983 0.9984 0.9984 0.99850.9987 0.9987 0.9987 0.9988 0.9988 0.9989 0.99890.9990 0.9991.05.06.08.090.5359 0.00.5753 0.10.6141 0.20.9985 0.9986 0.9986 2.9A3.23.3A 3.40.9991 0.9991 0.9992 0.9992 0.99920.9993 0.9993 0.9994 0.9994 0.9994 0.9994 0.9994 0.9995 0.9995 0.9995 3.20.9989 0.9990 0.9990 3.00.9992 0.9993 0.9993 3.120.9995 0.99950.9997 0.9997.00.010.9995 0.99960.9997 0.9997.02.030.99960.99960.99970.99970.99960.9997.04.05.060.9996 0.99960.9997 0.9997.07.080.99970.9998.093.33.4.092

Accepted Answer

x3456P(X=x)0.10.40.30.2