(a) A die is rolled three times with outcomes X1, X2, and X3. Let Y3 be the...

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(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 <j) = P(X,si). Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...
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