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{"ops":[{"insert":"Sports shirts are frequently classified as S, M, L, XL for small, medium, large\nand extra-large neck sizes. S fits a neck circumference of less than 37cm, M\nfits between 37 and 40.5cm and L fits between 40.5cm and 44cm while XL fits\nnecks over 44cm in circumference. The neck circumference of adult males has\na normal distribution with \u0016 = 40cm and \u001b = 2cm.\n(i) What proportion of shirts should be manufactured in each category?\n[6 marks]\n(ii) If you wanted to define categories S, M, L, XL so that the categories contained\n20%, 30%, 30% and 20% respectively, of the total population of\nadult males, what neck sizes must you assign to each of the categories?\n[6 marks]\n"}]}
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