Question: 10.6.6 Let XI, . . . , X 3 6 0 represent the outcomes of 360 tosses of a fair die. Let S360 be the

10.6.6 Let XI, . . . , X 3 6 0 represent the outcomes of 360 tosses of a fair die. Let S360 be the total score X 1 + . . . + x 3 6 0 , and for j = 1, . . . ,6, let Y j be the total number of tosses that give outcome j . Use a normal approximation to obtain: (i) P(55 <

f i < 62). (ii) P(1200 < ,9360 < 1300). (iii) P(1200 < ,9360 < 1300/Y1 = 55).

(iv) P(1200 < s 3 6 0 < 1300)Y4 = 55). (v) P(1200 < S360 < 13001x1 = X2 =

. . . = x - 55 - 4).

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