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Ch. 5 - Discrete Probability Distributions
Triola - Elementary Statistics 14th Edition
Triola14th EditionElementary StatisticsISBN: 9780137366446Not the one you use?Change textbook
Chapter 5, Problem 5.c.4b

Salary Negotiations In a Jobvite survey, 2287 adult workers were randomly selected and asked about salary negotiations.


b. Among those who negotiated salary, 84% received higher pay. How many received higher pay?

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1
Identify the total number of adult workers who negotiated salary. This is given as 2287 in the problem.
Determine the percentage of those who received higher pay after negotiating. This is given as 84%, which can be expressed as a decimal: 0.84.
To find the number of workers who received higher pay, multiply the total number of workers (2287) by the percentage who received higher pay (0.84). Use the formula: Number=Total×Percentage.
Substitute the values into the formula: Number=2287×0.84.
Perform the multiplication to calculate the number of workers who received higher pay. This will give you the final result.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Percentage Calculation

Percentage calculation involves determining a portion of a whole expressed as a fraction of 100. In this context, to find out how many workers received higher pay, you would calculate 84% of the total number of workers who negotiated their salary. This is done by multiplying the total number of negotiators by 0.84.
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Sample Size

Sample size refers to the number of individuals included in a study or survey. In this case, the sample size is 2287 adult workers. Understanding the sample size is crucial as it affects the reliability and validity of the survey results, influencing how representative the findings are of the larger population.
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Random Sampling

Random sampling is a technique used to select a subset of individuals from a larger population, ensuring that each member has an equal chance of being chosen. This method helps to eliminate bias and allows for generalizations to be made about the entire population based on the sample. In the Jobvite survey, random sampling was used to select the 2287 workers, enhancing the credibility of the findings.
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Related Practice
Textbook Question

In Exercises 29 and 30, assume that different groups of couples use the XSORT method of gender selection and each couple gives birth to one baby. The XSORT method is designed to increase the likelihood that a baby will be a girl, but assume that the method has no effect, so the probability of a girl is 0.5.


Gender Selection Assume that the groups consist of 36 couples.


c. Is the result of 26 girls a result that is significantly high? What does it suggest about the effectiveness of the XSORT method?

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Textbook Question

Using Probabilities for Significant Events


c. Which probability is relevant for determining whether 3 is a significantly high number of matches: the result from part (a) or part (b)?

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Textbook Question

Binomial Probability Formula. In Exercises 13 and 14, answer the questions designed to help understand the rationale for the binomial probability formula.


Guessing Answers Standard tests, such as the SAT, ACT, or Medical College Admission Test (MCAT), typically use multiple choice questions, each with five possible answers (a, b, c, d, e), one of which is correct. Assume that you guess the answers to the first three questions.


c. Based on the preceding results, what is the probability of getting exactly one correct answer when three guesses are made?

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Textbook Question

Expected Value for the Florida Pick 3 Lottery In the Florida Pick 3 lottery, you can bet \$1 by selecting three digits, each between 0 and 9 inclusive. If the same three numbers are drawn in the same order, you win and collect \$500.


b. What is the probability of winning?


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Textbook Question

Lottery. In Exercises 15–20, refer to the accompanying table, which describes probabilities for the California Daily 4 lottery. The player selects four digits with repetition allowed, and the random variable x is the number of digits that match those in the same order that they are drawn (for a “straight” bet).


Using Probabilities for Significant Events


b. Find the probability of getting 2 or more matches.


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Textbook Question

In Exercises 25–28, find the probabilities and answer the questions.


Internet Voting Based on a Consumer Reports survey, 39% of likely voters would be willing to vote by Internet instead of the in-person traditional method of voting. For each of the following, assume that 15 likely voters are randomly selected.


c. Find the probability that at least one of the selected likely voters would do Internet voting.

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