The return on the Tarheel Corporation stock is expected to be 15 percent with a standard deviation of 7 percent. The beta of Tarheel is 0.6. The risk-free rate is 5 percent, and the expected return on the market portfolio is 17 percent. What is the probability that an investor in Tarheel will earn a rate of return less than the required rate of return? Assume that returns are normally distributed. UseTable Vto answer the question. Round z value in intermediate calculation to two decimal places. Round your answer to the nearest whole number.
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TABLE V Normal Distribution (Area of the Normal Distribution That Is to the Right of +z or the Left of -z Standard Deviations from the Mean) Probability Probability - Z Mean Mean + 7 .00 01 .02 03 04 05 .06 07 08 09 0.0 5000 4960 4920 4880 4840 480 4761 472 4681 4641 4602 4562 4522 .4483 4443 4404 4364 4325 4286 4247 4207 .4168 4129 4090 4052 4013 3974 .3936 .3897 3859 .3821 .3783 3745 3707 3669 3632 3594 .3557 .3520 .3483 .3446 .3409 .3372 3336 .3300 3264 3228 .3192 3156 3121 .3085 .3050 3015 .2981 .2946 2912 2877 .2843 .2810 .2776 .2743 2709 .2676 .2643 .2611 2578 .2546 .2514 .2483 .2451 .2420 .2389 .2358 2327 .2296 2266 2236 2206 .2177 .2148 .2119 .2090 2061 2033 .2005 197 .1949 .1922 .1894 .1867 .1841 .1814 1788 .1762 .1736 1711 .1685 .1660 .1635 .1611 1.0 .1587 .1562 1539 .1515 .1492 .1469 .1446 .1423 .1401 .1379 1.1 .1357 .1335 .1314 .1292 .1271 1251 .1230 .1210 .1190 .1170 1.2 .1151 .1131 .1112 .1093 .1075 1056 1038 .1020 .1003 .0985 1.3 0968 .0951 .0934 .0918 0901 0885 0869 0853 0838 0823 1.4 0808 0793 0778 0764 0749 0735 0721 0708 0694 0681 1.5 .0668 .0655 .0643 .0630 .0618 0606 .0594 .0582 .0571 .0559 1.6 .0548 0537 .0526 0516 .0505 0495 0485 .0475 .0465 .0455 1.7 .0446 0436 .0427 0418 0409 .0401 0392 .0384 .0375 0367 1.8 0359 0351 0344 .0336 .0329 .0322 0314 0307 0301 .0294 1.9 .0287 .0281 0274 0268 .0262 .0256 0250 .0244 .0239 .0233 2.0 .0228 .0222 .0217 .0212 .0207 .0202 .0197 .0192 0188 .0183 2.1 0179 .0174 0170 0166 .0162 0158 0154 .0150 .0146 .0143 2.2 .0139 0136 .0132 .0129 0125 0122 0119 0116 0113 0110 2.3 0107 .0104 0102 .0099 0096 .0094 0091 0089 0087 .0084 2.4 0082 .0080 .0078 0075 0073 0071 0069 .0068 0066 0064 2.5 0062 0060 0059 .0057 .0055 .0054 .0052 .0051 0049 .0048 2.6 .0047 .0045 .0044 .0043 .0041 0040 .0039 .0038 0037 .0036 2.7 .0035 .0034 0033 .0032 .0031 .0030 0029 .0028 .0027 .0026 2.8 .0026 .0025 0024 0023 .0023 0022 0021 .0021 0020 .0019 2.9 .0019 .0018 .0018 .0017 .0016 0016 .0015 .0015 .0014 .0014 3.0 .0013 3.05 .0011 3.10 0010 3.25 0006 3.50 00023 4.00 .00003 5.00 .0000003 Absolute values of z