31. Consider a simultaneous flip of 5 unfair coins, PrH 0:3, and a sample space defined...

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31. Consider a simultaneous flip of 5 unfair coins, Pr½H ¼ 0:3, and a sample space defined as S ¼ fðn1; n2Þ j n1 denotes the number of Hs, and n2 the number of Tsg.

(a) Let X ¼ 0:01 P2 j¼1 10 jnj , and determine the range of X and associated p.d.f.

f ðxjÞ.

(b) Develop a graph of the c.d.f. of X: FðxÞ.

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