Random variable X represents marketing budget of competitors of a pen manufacturing company. It has a normal distribution with mean 2 and standard deviation of 2 (both in $ million)

. a) What is the probability of marketing budget to be greater than $8 million? (Hint: use a standard normal table, partially shown at the end of this question book or use Excel)

b) What is the probability of marketing budget to be exactly $3 million?

A section of standard normal table: 0.0 0 03 0 05 D. OF 0.07 10007 1002 .0002 0012 0002 0002 Table entry DO03 0003 0003 .DO03 0003 DO03 0003 10003 0904 0004 0004 -33 0005 0005 0005 0904 0004 FOODS 0005 -32 1005 0006 1005 0007 1.1 DO10 0009 0009 .0009 .0013 0013 0013 DO12 0012 001 1 1001 1 0011 0010 0010 -29 0019 0018 0018 .0017 0016 .0016 .0015 0015 9014 0014 -28 0023 0023 0022 1021 6021 M120 0019 1028 0027 -27 0035 0034 0033 1032 0031 1030 0045 0044 0041 0038 0037 8038 -26 DO47 -25 0062 0060 0059 .0057 0055 0054 .0052 0051 0049 0045 -24 0078 0075 0073 8064 .0102 1099 1094 10091 10089 -21 0107 0104 0116 0113 .0110 -22 0139 0136 0132 .0129 0125 .0122 0119 0170 0165 0162 .0158 .0154 0150 0146 0143 -21 0179 017 -20 0728 0272 0217 ,0212 0307 0202 .0197 0152 0198 01 83 .0250 0244 10239 0233 -19 0287 0241 0274 0265 0282 0256 020 0359 0351 0314 .0336 0329 0322 10314 0307 0301 8357 -1.7 .0446 0436 0427 .0418 0409 0401 0392 0354 0375 045 -1.6 0548 0537 0526 .0515 .0905 .0495 .0485 0475 0485 0659 -1.5 0656 .0643 .0630 0618 .0606 0594 0682 0571 -14 .0808 0793 0778 .0764 0749 .0735 .0721 0708 0681 0853 0838 -13 0968 0951 0934 0918 0901 0985 10369 1151 .1131 -1112 .1093 .1075 .1056 1034 1020 -1003 -12 -1190 .1170 -1.1 .1:357 -1335 -1314 .1292 -1271 .1251 .1230 .1210 .1469 .1423 -1401 .1379 -10 .1587 -1562 -1539 .1515 -1492 .1445