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Chapter 3: Q. 104 (page 227)

Use the information in the Table 3.19to answer the next eight exercises. The table shows the political party affiliation of each of 67members of the US Senate In June 2012. and when they are up freelection.

What is the probability that a randomly selected is a Republican or is up for reelection in November 2014?

Short Answer

Expert verified

The probability of the randomly selected Republican or reelection in November 2014is P(R鈭�U)=0.85.

Step by step solution

01

Given

The table shows the political party affiliation of each of 67members of the US Senate In June 2012. and when they are up freelection.

02

Calculation

The total as:

The chance of Republican winning reelection in November 2014is computed as follows:

Let R 鈭�U be the probability.

P(R鈭�U)=P(republican)+Pupfor reelectionin2014-P(R鈭�U)=3767+3367-1367=7067-1367=5767=0.85

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Most popular questions from this chapter

U and V are mutually exclusive events. P(U) = 0.26; P(V) = 0.37. Find:

a. P(U AND V)

b. P(U|V)

c. P(U OR V)

E and F are mutually exclusive events. P(E) = 0.4; P(F) = 0.5. Find P(E鈭).

Three professors at George Washington University did an experiment to determine if economists are more selfish than other people. They dropped 64stamped, addressed envelopes with $10cash in different classrooms on the George Washington campus. 44%were returned overall. From the economics classes 56%of the envelopes were returned. From the business, psychology, and history classes 31%were returned.

Let:R = money returned;E = economics classes; O = other classes

a. Write a probability statement for the overall percent of money returned.

b. Write a probability statement for the percent of money returned out of the economics classes.

c. Write a probability statement for the percent of money returned out of the other classes.

d. Is money being returned independent of the class? Justify your answer numerically and explain it.

e. Based upon this study, do you think that economists are more selfish than other people? Explain why or why not. Include numbers to justify your answer.

Forty-eight percent of all Californians registered voters prefer life in prison without parole over the death penalty for a person convicted of first degree murder. Among Latino California registered voters, 55%prefer life in prison without parole over the death penalty for a person convicted of first degree murder. 37.6%of all Californians are Latino. In this problem, let: 鈥� C = Californians (registered voters) preferring life in prison without parole over the death penalty for a person convicted of first degree murder. L = Latino Californians. Suppose that one Californian is randomly selected.

Find P(L AND C).

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