題組內容

4. A number \( \mathbf{N} \) of people entering the front gate of NTPU is a Poisson random variable. Assume that the average people entering the front gate within one hour are 50. (totally \( 10\% \)) (Just write down the expressions for answers. No need to calculate the values.)

(b) Find the probability that the first person shows up after \( 0.5\mathrm{hr} \) \( (5\%) \)