(Solved): (c) \( [10 p t] \) Suppose a discrete random variable \( T \) has Poisson distribution with paramet ...

(c) \( [10 p t] \) Suppose a discrete random variable \( T \) has Poisson distribution with parameter \( \lambda \) i. \( [5 p t] \) Find \( E\left(T^{3}\right) \). ii. [5 pt] Suppose \( \lambda=3 \), derive an upper bound for \( P(T \geq 30) \) using Chebyshev's inequality(Tchebysheff's Theorem).