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We flip a coin. If it is heads we roll a four sided die with sides numbered from 1 to 4. If it is tails, we roll a six sided

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Answer #1

dear student, we can provide you with a solution of one type of question at a time.

1) 0.5 0.5 Tail Head 0.25 0.167 0.167/6.1670.1670.16 0.25 0.25 0.25 0.167 4 2 3 1 2 3 4 5 6

Here First you need to form the probability distribution of X

A B C D Е 1 |formula P(X) 10.208333 0.5*0.25+0.5*(1/6) 2 0.208333 0.5*0.25+0.5*(1/6) 3 0.208333 0.5*0.25+0.5*(1/6) 4 0.208333

a) ELX] Pr) 3

b) Variance = Var X EX- (EX

ELX2 P() 11.33

Var[X 11.33 32 2.33

c) Standard deviation of X = V2.33 1.5264

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