Suppose X1, . . . , Xn are i.i.d. from a Poisson distribution with parameter λ, which is unknown. (a) Find a 100 ∗ (1 − α)% confidence interval for λ. (b) Find a 100 ∗ (1 − α)% upper confidence bound...

Suppose X1, . . . , Xn are i.i.d. from a Poisson distribution with parameter λ, which is unknown.

(a) Find a 100 ∗ (1 − α)% confidence interval for λ.
(b) Find a 100 ∗ (1 − α)% upper confidence bound for λ.

(c) Find a 100 ∗ (1 − α)% lower confidence bound for λ.