Let X1,X2,X3 be i.i.d. discrete random variables with the probability mass function p(k)=(frac23)^k-1(frac13), k=1,2,3,… Let Y=X1+X2+X3. Then P(Yge5) equals

Q13Section A (Section A)13 of 60

Tail probability of a sum of three geometric variables

Let $X_1,X_2,X_3$ be i.i.d. discrete random variables with the probability mass function $p(k)=\left(\frac23\right)^{k-1}\left(\frac13\right)$ , $k=1,2,3,…$ Let $Y=X_1+X_2+X_3$ . Then $P(Y\ge5)$ equals

Pick an option to check your answer.

Keyboard: A–D answer · S solution · ←/→ previous/next