According to a survey by the Administrative Management Society, one-half of U.S. companies give employees 4 weeks of vacation after they have been with the company for 15 years. Complete parts (a) and (b). Click here to view page 1 of the table of binomial probability sums. Click here to view page 2 of the table of binomial probability sums. (a) Find the probability that among 9 companies surveyed at random, the number that give employees 4 weeks of vacation after 15 years of employment is anywhere from 2 to 7. The probability is . (Round to four decimal places as needed.) \fBinomial Probability Sums _ b(x; n, p) P n 0.10 0.20 0.25 0.30 0.40 0.50 0.60 0.70 0.80 0.90 8 0 0.4305 0.1678 0.1001 0.0576 0.0168 0.0039 0.0007 0.0001 0.0000 1 0.8131 0.5033 0.3671 0.2553 0.1064 0.0352 0.0085 0.0013 0.0001 0.9619 0.7969 0.6785 0.5518 0.3154 0.1445 0.0498 0.0113 0.0012 0.0000 09 19 0.9950 0.9437 0.8862 0.8059 0.5941 0.3633 0.1737 0.0580 0.0104 0.0004 4 0.9996 0.9896 0.9727 0.9420 0.8263 0.6367 0.4059 0.1941 0.0563 0.0050 5 1.0000 0.9988 0.9958 0.9887 0.9502 0.8555 0.6846 0.4482 0.2031 0.0381 6 0.9999 0.9996 0.9987 0.9915 0.9648 0.8936 0.7447 0.4967 0.1869 1.0000 1.0000 0.9999 0.9993 0.9961 0.9832 0.9424 0.8322 0.5695 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 0 0.3874 0.1342 0.0751 0.0404 0.0101 0.0020 0.0003 0.0000 0.7748 0.4362 0.3003 0.1960 0.0705 0.0195 0.0038 0.0004 0.0000 0.9470 0.7382 0.6007 0.4628 0.2318 0.0898 0.0250 0.0043 0.0003 0.0000 0.9917 0.9144 0.8343 0.7297 0.4826 0.2539 0.0994 0.0253 0.0031 0.0001 4 0.9991 0.9804 0.9511 0.9012 0.7334 0.5000 0.2666 0.0988 0.0196 0.0009 5 0.9999 0.9969 0.9900 0.9747 0.9006 0.7461 0.5174 0.2703 0.0856 0.0083 6 1.0000 0.9997 0.9987 0.9957 0.9750 0.9102 0.7682 0.5372 0.2618 0.0530 1.0000 0.9999 0.9996 0.9962 0.9805 0.9295 0.8040 0.5638 0.2252 09 00 -1 1.0000 1.0000 0.9997 0.9980 0.9899 0.9596 0.8658 0.6126 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 10 0 0.3487 0.1074 0.0563 0.0282 0.0060 0.0010 0.0001 0.0000 0.7361 0.3758 0.2440 0.1493 0.0464 0.0107 0.0017 0.0001 0.0000 0.9298 0.6778 0.5256 0.3828 0.1673 0.0547 0.0123 0.0016 0.0001 0.9872 0.8791 0.7759 0.6496 0.3823 0.1719 0.0548 0.0106 0.0009 0.0000 0.9984 0.9672 0.9219 0.8497 0.6331 0.3770 0.1662 0.0473 0.0064 0.0001 5 0.9999 0.9936 0.9803 0.9527 0.8338 0.6230 0.3669 0.1503 0.0328 0.0016 6 1.0000 0.9991 0.9965 0.9894 0.9452 0.8281 0.6177 0.3504 0.1209 0.0128 0.9999 0.9996 0.9984 0.9877 0.9453 0.8327 0.6172 0.3222 0.0702 09 00 -1 1.0000 1.0000 0.9999 0.9983 0.9893 0.9536 0.8507 0.6242 0.2639 1.0000 0.9999 0.9990 0.9940 0.9718 0.8926 0.6513 10 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 11 0 0.3138 0.0859 0.0422 0.0198 0.0036 0.0005 0.0000 0.6974 0.3221 0.1971 0.1130 0.0302 0.0059 0.0007 0.0000 0.9104 0.6174 0.4552 0.3127 0.1189 0.0327 0.0059 0.0006 0.0000 0.9815 0.8389 0.7133 0.5696 0.2963 0.1133 0.0293 0.0043 0.0002 0.9972 0.9496 0.8854 0.7897 0.5328 0.2744 0.0994 0.0216 0.0020 0.0000 0.9997 0.9883 0.9657 0.9218 0.7535 0.5000 0.2465 0.0782 0.0117 0.0003 1.0000 0.9980 0.9924 0.9784 0.9006 0.7256 0.4672 0.2103 0.0504 0.0028 0.9998 0.9988 0.9957 0.9707 0.8867 0.7037 0.4304 0.1611 0.0185 1.0000 0.9999 0.9994 0.9941 0.9673 0.8811 0.6873 0.3826 0.0896