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Chapter 3: Q. 79 (page 221)

Use the following information to answer the next twelve12exercises. The graph shown is based on more than170,000interviews done by Gallup that took place from January through December2012. The sample consists of employed Americans18years of age or older. The Emotional Health Index Scores are the sample space. We randomly sample one Emotional Health Index Score.


If all occupations are equally likely for a certain individual, what is the probability that he or she will have an occupation with lower than average EHIS?

Short Answer

Expert verified

The Probability lower than average EHIS is12.

Step by step solution

01

Definition for probability

The probability of a random event's result is referred to as probability. This term refers to evaluating the likelihood of a particular event that took place.

P(E)=NumberofPositiveOutcomesTotalNumberofOutcomes

P(E)=n(E)n(S)

02

Calculation for probability lower than average

In an Emotional Health Index score, there are 14vocations.

Average of EHIS is,

Average =Totaloccupations2

=142

=7

The probability is,

P(A)=AverageTotalnoofevents

P(A)=714

=12

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Most popular questions from this chapter

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 six exercises. There are 23countries in North America, 12countries in

South America, 47countries in Europe, 44countries in Asia, 54countries in Africa, and 14in Oceania (Pacific Ocean

region).

Let A = the event that a country is in Asia.

Let E = the event that a country is in Europe.

Let F = the event that a country is in Africa.

Let N = the event that a country is in North America.

Let O = the event that a country is in Oceania.

Let S = the event that a country is in South America.

Find P(F).

After Rob Ford, the mayor of Toronto, announced his plans to cut budget costs in late 2011, the Forum Research polled 1,046people to measure the mayor鈥檚 popularity. Everyone polled expressed either approval or disapproval. These are the results their poll produced:

鈥� In early 2011,60percent of the population approved of Mayor Ford鈥檚 actions in office.

鈥� In mid-2011,57percent of the population approved of his actions.

鈥� In late 2011, the percentage of popular approval was measured at 42percent.

a. What is the sample size for this study?

b. What proportion in the poll disapproved of Mayor Ford, according to the results from late 2011?

c. How many people polled responded that they approved of Mayor Ford in late 2011?

d. What is the probability that a person supported Mayor Ford, based on the data collected in mid-2011?

e. What is the probability that a person supported Mayor Ford, based on the data collected in early 2011?

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(C|L).

What is the sum of the probabilities of an event and its complement?
See all solutions

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