1. A travel agency took a survey of families that took driving trips for a vacation lasting one week or longer. The survey asked for the primary (i.e. most common) method of accommodation during the trip: the possibilities were camping which included staying in a motor-home, hotels and motels or staying with friends or relatives. The survey also looked at the age of the oldest person on the trip placing them in one of three categories: 20 to 39 was classified as young, 40 to 59 was classified as middle age and 60 or over was classified as old. Here is the result of the survey for the 650 families (the totals for each row and column are also shown):

	Camping	Hotel and Motel	Relatives and Friends	Totals
Young (20 to 39)	167	139	34	340
Middle (40 to 59)	53	59	21	133
Old (60 and over)	56	111	10	177
Totals	276	309	65	650

Use the following notation: Let Cbe the event "Camping",

Let Hbe the event "Hotel and Motel",

Let Rbe the event "Relatives and Friends",

Let Ybe the event "Young", Let Mbe the event "Middle", Let Obe the event "Old".

.

A. Find P C P H P R P Y P M( ), ( ), ( ), ( ), ( )and P O( ).

for the rest assume one family has been selected randomly from these 650 families.

B. Find the probability the family uses camping as their primary accommodation andthe oldest person on the trip is classified as young.

C. Find the probability the oldest person on the trip is classified as old orthat the family's primary accommodation is Hotels and Motels.

D. Find the probability that the oldest person on the trip is classified as young given that the family's primary accommodation is staying with relatives and friends.

E. Are the events Yand Rindependent?