Pmf of the minimum of several random variables on a given, Econometrics

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Pmf of the minimum of several random variables on a given

PMF of the minimum of several random variables. On a given day. your golf score takes values from the range 101 to 110. with probability 0.1, independent of other days. Determined to improve your score, you decide to play on three different days and declare as your score the minimum X of the scores X₁ , X₂, and X₃ on the different days.

(a) Calculate the PMF of X.

(b) By how much has your expected score improved as a result of playing on three days?

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