Auto batteries have an average life of 2.7 years. Battery life is normally distributed with a mean of 2.7 years and a standard deviation of0.43 years. The batteries are warranted to operate for a minimum of 2 years. If a battery fails within the warranty period, it will bereplaced with a new battery at no charge. The company sells and installs the batteries. Also, the usual $5 installation charge will bewaived.Use and Table B.a. What percentage of batteries would you expect to fail before the warranty period expires? (Round your z value to 2 decimal places.Round probabilities to 4 decimal places. Round your final answer to 2 decimal places.)Percentage%b. A competitor is offering a warranty of 26 months on its premium battery. The manager of this company is toying with the idea ofusing the same battery with a different exterior, labeling it as a premium battery, and offering a 26-month warranty on it. Whatpercentage of the batteries would you expect to fail before this new warranty period expires? (Round your z value to 2 decimalplaces. Round probabilities to 4 decimal places. Round your final answer to 2 decimal places.)Percentage Table B1. Areas under thestandardized normalcurve, from - to -z.09.08.07.06.05.04.03.0201,00.0002.0003.0003.0003.0003.0003.0003.0003.0003.0003-3.4.0003.0004.0004.0004.0004.0004.0004.0005.0005.0005-3.3.0005.0005.0005.0006.0006.0006.0006.0006.0007.0007-3.2.0007.0007.0008.0008.0008.0008.0009.0009.0009.0010-3.1.0010.0010.0011.0011.0011.0012.0012.0013.0013.0013-3.0.0014.0014.0015.0015.0016.0016.0017.0018.0018.0019-2.9.0019.0020.0021.0021.0022.0023.0023.0024.0025.0026-2.8.0026.0027.0028.0029.0030.0031.0032.0033.0034.0035-2.7.0036.0037.0038.0039.0040.0041.0043.0044.0045.0047-2.6.0048.0049.0051.0052.0054.0055.0057.0059.0060.0062-2.5.0064.0066.0068.0069.0071.0073.0075.0078.0080.0082-2.4.0084.0087.0089.0091.0094.0096.0099.0102.0104.0107-2.3.0110.0113.0116.0119.0122.0125.0129.0132.0136.0139-2.2.0143.0146.0150.0154.0158.0162.0166.0170.0174.0179-2.1.0183.0188.0192.0197.0202.0207.0212.0217.0222.0228-2.0.0233.0239.0244.0250.0256.0262.0268.0274.0281.0287-1.9.0294.0301.0307.0314.0322.0329.0336.0344.0351.0359-1.8.0367.0375.0384.0392.0401.0409.0418.0427.0436.0446-1.7.0455.0465.0475.0485.0495.0505.0516.0526.0537.0548-1.6.0559.0571.0582.0594.0606.0618.0630.0643.0655.0668-1.5.0681.0694.0708.0721.0735.0749.0764.0778.0793.0808-1.4.0823.0838.0853.0869.0885.0901.0918.0934.0951.0968-1.3.0985.1003.1020.1038.1056.1075.1093.1112.1131.1151-1.2.1170.1190.1210.123012511271.1292.1314.1335.1357-1.1.1379.1401.1423.1446.1469.1492.1515.1539.1562.1587-1.0.1611.1635.1660.1685.1711.1736.1762.1788.1814.1841-0.9.1867.1894.1922.1949.19772005.2033.2061.2090.2119-0.8.2148.21772206.2236.2266.2296.23272358.23892420-0.72451.2483251425462578261126432676.2709.2743-0.6.2776.28102843287729122946.2981.3015.3050.3085-0.53121.315631923228.3264330033363372.34093446-0.4.3483.3520355735943632366937073745.3783.3821-0.3.3859.389739363974401340524090.4129.41684207-0.24247428643254364.440444434483.45224562.4602-0.1.4641.468147214761480148404880.4920.4960.5000-0.0

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