The following table gives numbers of claims at a large insurance company by kind and geographical region. Use the table in determining the following probabilities.

	East	west
Hospitalization	75	25
Physician's Visit	100	50

1) What is the probability that a randomly chosen claim is for hospitalization?

2) What is the probability that a randomly chosen claim is for a physician's Visit in the West?

3)What is the probability that a claim chosen at random is for Hospitalization or is from the East?

4) If we know that the claim is for hospitalization, what is the probability that it is in the East?

5) Is physician's visit independent of a west geographical region