(a) A die is rolled three times with outcomes X1, X2, and X3 Let Y3 be the maximum of the values obtained Show that Use this to find the distribution of Y3 Does Y3 have a bell shaped distribution (b) Now let Yn be the maximum value when n dice are rolled Find the distribution of Yn Is this distribution bell shaped for large values of n P(Y3

Question: (a) A die is rolled three times with outcomes X1, X2, and X3. Let Y3 be the maximum of the values obtained. Show that Use

(a) A die is rolled three times with outcomes X1, X2, and X3. Let Y3 be the maximum of the values obtained. Show that

Use this to find the of Y3. Does Y3 have a bell-shaped Now let Yn be the maximum value when n dice are rolled. Find the of Yn. Is this bell-shaped for large values of n?

P(Y3

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