For A) We know it should be 50,50 since E[x_1] is 100. So P=.5
For B) I need to finish the readings before I can answer this with the CLT, which I believe is what they want. For now; here is chevyshev’s inequality
\(P(Y_{365}>110)=P(Y_{365}>100+10) \le Var(Y_{364}) /(Var(Y_{364}) + 10^2) = 91/(91+100)\)
I believe that would be the chebyshev’s inequality…I will update this rpub thursday, when I use the CLT to complete this with better estimates.