In a survey conducted by researchers at the University of Wisconsin, subjects were asked the question "Have you ever used cocaine?" in one of three methods, anonymous survey, personal interview, or phone survey. The contingency table below shows the results of this survey of 2400 students. Suppose one subject is randomly selected from this group. Find the probability that the subject answered **"Yes" and** participated in a **phone interview.** Show this answer as a **fraction**. Do **not** attempt to reduce the fraction.

Survey Method |
NO |
YES |
TOTAL |

Anonymous |
576 | 224 | 800 |

Personal |
600 | 200 | 800 |

Phone |
632 | 168 | 800 |

Total |
1808 | 592 | 2400 |

In a survey conducted by researchers at the University of Wisconsin, subjects were asked the question "Have you ever used cocaine?" in one of three methods, anonymous survey, personal interview, or phone survey. The contingency table below shows the results of this survey of 2400 students. Suppose one subject is randomly selected from this group. Find the probability that the subject participated in an **anonymous interview given** that the person answered **"Yes."** Show this answer as a **fraction**. Do **not**attempt to reduce the fraction.

Survey Method |
NO |
YES |
TOTAL |

Anonymous |
576 | 224 | 800 |

Personal |
600 | 200 | 800 |

Phone |
632 | 168 | 800 |

Total |
1808 | 592 | 2400 |

In a survey conducted by researchers at the University of Wisconsin, subjects were asked the question "Have you ever used cocaine?" in one of three methods, anonymous survey, personal interview, or phone survey. The contingency table below shows the results of this survey of 2400 students. Suppose one subject is randomly selected from this group. Find the probability that the subject answered **"No"** **given **that the subject participated in a **phone interview.** Show this answer as a **fraction**. Do **not** attempt to reduce the fraction.

Survey Method |
NO |
YES |
TOTAL |

Anonymous |
576 | 224 | 800 |

Personal |
600 | 200 | 800 |

Phone |
632 | 168 | 800 |

Total |
1808 | 592 | 2400 |

In a survey conducted by researchers at the University of Wisconsin, subjects were asked the question "Have you ever used cocaine?" in one of three methods, anonymous survey, personal interview, or phone survey. The contingency table below shows the results of this survey of 2400 students. Suppose one subject is randomly selected from this group. The probability that the subject answered **"No"** **and **participated in a **personal interview** is 600/2400 or 0.25. This probability **cannot **be computed by multiplying P(No) times P(personal interview) that is by multiplying (1808/2400)*(800/2400) = 0.2511. Why is that true?

A)

Survey Method |
NO |
YES |
TOTAL |

Anonymous |
576 | 224 | 800 |

Personal |
600 | 200 | 800 |

Phone |
632 | 168 | 800 |

Total |
1808 | 592 | 2400 |

B)

C)

In a survey conducted by researchers at the University of Wisconsin, subjects were asked the question "Have you ever used cocaine?" in one of three methods, anonymous survey, personal interview, or phone survey. The contingency table below shows the results of this survey of 2400 students. Suppose one subject is randomly selected from this group. Answer each of the following.

Survey Method |
NO |
YES |
TOTAL |

Anonymous |
576 | 224 | 800 |

Personal |
600 | 200 | 800 |

Phone |
632 | 168 | 800 |

Total |
1808 | 592 | 2400 |

A. 0.247 |

B. 0.28 |

C. 0.25 |

D. 0.21 |

E. No |

F. Yes |

G. 0.093 |

H. 0.083 |

I. 0.07 |

Suppose that you know that A and B are independent events, that is the outcome of event A does not affect the outcome of event B and vice versa. P(A) = 0.4 and P(B) = 0.8. Find P(A|B) that is, P(A given B).

A) B)

C)

D)

The table shows the political affiliation of American voters and their positions on the death penalty.

Favor | Oppose | |

Republican | 0.26 | 0.04 |

Democrat | 0.12 | 0.24 |

Other | 0.24 | 0.10 |

What is the probability that a randomly chosen voter favors the death penalty?

The table shows the political affiliation of American voters and their positions on the death penalty.

Favor | Oppose | |

Republican | 0.26 | 0.04 |

Democrat | 0.12 | 0.24 |

Other | 0.24 | 0.10 |

What is the probability that a Republican favors the death penalty? This questions could be rephrased as: What is the probability that a randomly chosen voter favors the death penalty given that the voter is a Republican?

Show your answer as a decimal rounded to three decimal places.

The table shows the political affiliation of American voters and their positions on the death penalty. An American voter is chosen at random.

Favor | Oppose | |

Republican | 0.26 | 0.04 |

Democrat | 0.12 | 0.24 |

Other | 0.24 | 0.10 |

What is the probability that a voter who favors the death penalty is a Democrat? This questions could be rephrased as: What is the probability that voter is a Democrat given that the voter favors the death penalty?

Show your answer as a decimal rounded to three decimal places.

The table shows the political affiliation of American voters and their positions on the death penalty. An American voter is chosen at random.

Favor | Oppose | |

Republican | 0.26 | 0.04 |

Democrat | 0.12 | 0.24 |

Other | 0.24 | 0.10 |

A candidate thinks she has a good chance of gaining the votes of anyone who is a Democrat or opposes the death penalty. What portion of the voters is that?

Subject | Mathematics |

Due By (Pacific Time) | 10/04/2013 10:00 pm |

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