Let X1,...,Xn be independent and identically distributed continuous random variables. We s...

Let X1,...,Xn be independent and identically distributed continuous random variables. We say that a record value occurs at time j,j ≤ n, if Xj ≥ Xi for all 1 ≤ i ≤ j. Show that

(a) E[number of record values] = ;

---

(b) Var(number of record values) = ;