3 4 5 6 please answer 5 and 6 by using the idea of question

3)

4)

5)

6)

please answer 5 and 6 by using the idea of question 3 and 4. thank you.

3. On the average 4 accidents happen each day in a certain town. What is the probability that tomorrow there will be more than 2 accidents in this town? (Assume Poisson law for rare events.) omorrow there will be more than 2 acidents in this toAsune Poisson law for rare events)

Solution

Let Y be the no. of accidents occur each day.

X~Geometric(1-P[Y=0])=Geometric(0.9816844)

5.

P(no accidents for 1week)=P[X>7]=0.137468

P(X>14|X=7)=0.137468

6.

P(3<X<8)=0.9180081