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Question: a what does it mean for two events to be...

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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.

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