1.The number of accidents on a road is Poisson random variable with $\displaystyle \lambda =1$ number of accidents on the road on different days is independent.

a)What is the Poisson distribution of number of accidents on the road that week?

b)Find the probability that at least 3 accident will occur?

2.Dice is tossed 420 times,find the probability(roughly) that the sum is at least 1400.

Any help would be appreciated.

Thanks in advance.