Consider the setting where you first roll a fair 6-sided die, and then you flip a...

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Consider the setting where you first roll a fair 6-sided die, and then you flip a...

Consider the setting where you first roll a fair 6-sided die, and then you flip a fair coin the number of times shown by the die. Let D refer to the outcome of the die roll (i.e., number of coin flips) and let H refer to the number of heads observed after D coin flips.

(a) Suppose the outcome of rolling the fair 6-sided die is d. Determine E[H|d] and Var(H|d).

(b) Determine E[H] and Var(H).

math Statistics-And-Probability

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Answer 1

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outceme ot die soeuu mo.d heads atec D ein fXps E(d) 키4 E( d)- 1 (1+4+1+ 6+25+36) 6 Var(a)E(2)-E(d- 35 6 12- 2. チ 35 56 8 24

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