According to Mars (the candy company, not the planet), 24% of M&M plain candies are blue. Data Set 18 in Appendix B shows that among 100 M&Ms chosen, 27 are blue. Assuming that the claimed blue M&Ms rate of 24% is correct, find the probability of randomly selecting 100 M&Ms and getting 27 or more that are blue. Based on the result, is 27 an unusually high number of blue M&Ms when 100 are randomly selected?

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Data Set 18: M&M Plain Candy Weights (grams) STATDISK: Data set name is M&M. Minitab: Worksheet name is M&M.MTW. Workbook name is M&M.XLS. App name is MM, and the file Excel: TI-83/84 Plus: names are the same as for text files. Text file names: Text file names are RED, ORNG, YLLW, BROWN, BLUE, GREEN. Red Orange Yellow Brown Blue Green 0.751 0.735 0.883 0.881 0.925 0.696 0.876 0.841 0.895 0.769 0.863 0.914 0.856 0.865 0.859 0.855 0.775 0.881 0.799 0.864 0.784 0.806 0.854 0.865 0.810 0.966 0.859 0.852 0.824 0.840 0.868 0.865 1.015 0.866 0.858 0.858 0.818 0.876 0.809 0.857 0.859 0.848 0.859 0.942 0.838 0.851 0.982 0.868 0.873 0.863 0.803 0.865 0.809 0.888 0.848 0.932 0.842 0.890 0.925 0.940 0.878 0.793 0.977 0.832 0.807 0.833 0.905 0.845 0.850 0.841 0.852 0.830 0.932 0.778 0.856 0.833 0.814 0.842 0.778 0.881 0.818 0.791 0.810 0.786 0.864 0.881 0.853 0.825 0.864 0.855 0.873 0.942 0.880 0.825 0.882 0.869 0.931 0.912 0.887 0.886