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

###### Question details

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

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

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

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