Two fair six-sided dice are tossed independently. Let M = the maximum of the two tosses...

Two fair six-sided dice are tossed independently. Let M = the maximum of the two tosses (so M(1,5) = 5, M(3,3) = 3, etc.).

(a) What is the pmf of M? [Hint: First determine p(1), then p(2), and so on.] (Enter your answers as fractions.)

m	1	2	3	4	5	6
p(m)

(b) Determine the cdf of M. (Enter your answers as fractions.)F(m) =

		m < 1
		1 ≤ m < 2
		2 ≤ m < 3
		3 ≤ m < 4
		4 ≤ m < 5
		5 ≤ m < 6
		m ≥ 6

Graph the cdf of M.

Expert Solution

orchestra answered 1 year ago

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Two fair six-sided dice are tossed independently. Let M = the maximum of the two tosses...

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