money takes over, hence you de cide to hoard as much wealth as you can. In order to prepare yourself for the "rich" life, you decide to indulge in rich people activities like Golf. You noticed that on a given day, your golf score takes values from the range of 72 to 76, with probability 0.2. You are determined to improve your score' hence you play on three different days and de clare as your score the minimum X of the scores X1, X2, X3 on the different days. Note that your perform ance on each day is independent of your perform ance on other days. (a) Calculate the PMF of X. X = min(X1, X2, X3) (b) How much has your expected score improved as a result of playing on 3 days.

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1.
Golfing with the Rich: After graduation, you earn your first pay check and your lust for
money takes over, hence you de cide to hoard as much wealth as you can. In order to prepare yourself
for the "rich" life, you decide to indulge in rich people activities like Golf. You noticed that on a given
day, your golf score takes values from the range of 72 to 76, with probability 0.2. You are determined to
improve your score' hence you play on three different d ays and de clare as your score the minimum X of
the scores X1, X2, X3 on the different days. Note that your perform ance on each day is independent of your
perform ance on other days.
(a)
Calculate the PMF of X. X = min(X1, X2, X3)
(b)
How much has your expected score improved as a result of playing on 3 days.
Transcribed Image Text:1. Golfing with the Rich: After graduation, you earn your first pay check and your lust for money takes over, hence you de cide to hoard as much wealth as you can. In order to prepare yourself for the "rich" life, you decide to indulge in rich people activities like Golf. You noticed that on a given day, your golf score takes values from the range of 72 to 76, with probability 0.2. You are determined to improve your score' hence you play on three different d ays and de clare as your score the minimum X of the scores X1, X2, X3 on the different days. Note that your perform ance on each day is independent of your perform ance on other days. (a) Calculate the PMF of X. X = min(X1, X2, X3) (b) How much has your expected score improved as a result of playing on 3 days.
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