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Chapter 3: Q. 105 (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 reelection.

Suppose that a member of the US Senate is randomly selected. Given that the randomly selected senator is up for reelection In November 2016, what is the probability that this senator is a Democrat?

Short Answer

Expert verified

The probability of the reelection in November2016the senate of democratic party is13.

Step by step solution

01

Given information

Number of persons in democratic party year of 2014is 20.

Number of persons in democratic party year of2016is10.

02

Calculation for probability

Randomly selected member of US Senate is Democrat.

In November 2016,

Number of person in democratic party is localid="1649668748251" 10.

Probability=NoofpersonsTotalnoofpersons

Total no of persons in democratic party is equal to sum of persons in November 2014and2016.

So,

Total no of persons=20+10

=30

Thus,

P(Democraticparty)=1030

=13

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Most popular questions from this chapter

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.

A jar of 150 jelly beans contains 22 red jelly beans, 38

yellow, 20 green, 28 purple, 26 blue, and the rest are orange.

Let B = the event of getting a blue jelly bean

Let G = the event of getting a green jelly bean.

Let O = the event of getting an orange jelly bean.

Let P = the event of getting a purple jelly bean.

Let R = the event of getting a red jelly bean.

Let Y = the event of getting a yellow jelly bean.

Find P(P).

Use the following information to answer the next 12exercises. The graph shown is based on more than localid="1648902668215">170,000interviews done by Gallup that took place from January through December 2012. The sample consists of employed Americans 18years of age or older. The Emotional Health Index Scores are the sample space. We randomly sample one Emotional Health Index Score.

If we know an Emotional Health Index Score is 81.5 or more, what is the probability that it is 82.7.

Use the following information to answer the next two exercises. You see a game at a local fair. You have to throw a dart at a color wheel. Each section on the color wheel is equal in area.

Let B = the event of landing on blue.

Let R = the event of landing on red.

Let G = the event of landing on green.

Let Y = the event of landing on yellow.

If you land on red, you don鈥檛 get a prize. What is P(R)?

A student goes to the library. Let events B = the student checks out a book and D = the student check out a DVD. Suppose that P(B) = 0.40, P(D) = 0.30 and P(D|B) = 0.5.

a. Find P(B AND D).

b. Find P(B OR D).
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