It says my answers are incorrect. Can anyone help me please? What did I do wrong..?
On a given day, your golf score takes values from range 100 to 109, with probability 0.1, independently from 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, X3 on the different days.
- Calculate the PMF of X.
Where P(X>k) = P(X1>k, X2>k, X3>k)=(109-k)^3*/(10^3)
- By how much has your expected score changed as a result of playing on three days?
If PX(100+i)=0.3*(1-i)^2 then E(X)=102.475
If P(X.1 then E(X)=104.5 Difference=102.475-104.5=-2.025