Question

A. What does it mean for two events to be mutually exclusive?

1. If we pick a number between 1 ~ 12, what is the probability that the chosen number will be
2. At least 9
3. At most 10
4. Between 5 and 8, inclusive

B. When we toss a die, six outcomes are possible. What is the probability of?

1. Event A = die comes up even
2. Event B = die comes up at most 2
3. Event C = die comes up at least 4
4. Event D = die comes up 2
5. Are events A and B mutually exclusive? Why or why not?
6. Are events B and C mutually exclusive? Why or why not?
7. Are events C and D mutually exclusive? Why or why not?

C. Housing Units. The U.S. Census Bureau publishes data on housing units in American Housing Survey for the United States. The following table provides a frequency distribution for the number of rooms in U.S. housing units. The frequencies are in thousands (Ch 5, page 210):

Rooms	No. of units
1	601
2	1,404
3	11,433
4	23,636
5	30,440
6	27,779
7	17,868
8+	19,257

For a U.S. housing unit selected at random find the probability of the following:

a)    A = event the unit has at most four rooms,

b)    B = event the unit has at least two rooms,

c)    C = event the unit has between five and seven rooms, inclusive, and

d)    D = event the unit has seven rooms or more.

e)    E = event the unit has seven rooms or less.

Answer 1