Concept explainers
College bound: The Statistical Abstract of the United States reported that 66% of students who graduated from high school in 2012 enroled in college. Thirty high school graduates are sampled.
What is the probability that exactly 15 of them enroll in college?
What is the probability that more than 15 enroll in college?
What is the probability that fewer than 12 enroll in college?
Would it be unusual if more than 25 of them enroll in college?
What is the mean number who enroll in college in a sample of 30 high school graduates?
What is the standard deviation of the number who enrol in college in a sample of 30 high school graduates?
(a)
To find: the probability of exactly 18 students who enrolled in college
Answer to Problem 35E
The probability of exactly 18 students who enrolled in college is
Explanation of Solution
Given:
Number of students enrolled in college is,
Samples taken,
Formula used:
Probability of binomial distribution is calculated as
Calculation:
Here,
Probability of binomial distribution is,
Conclusion:
Therefore, the probability of exactly 18 students who enrolled in college is
(b)
To find: the probability of more than 15 students who enrolled in college
Answer to Problem 35E
The probability of more than 15 students who enrolled in college is
Explanation of Solution
Given:
Number of students enrolled in college is,
Samples taken,
Calculation:
Here,
Probability of binomial distribution is,
Conclusion:
Therefore, the probability of more than 15 students who enrolled in college is
(c)
To find: the probability of fewer than 12students who enrolled in college
Answer to Problem 35E
The probability offewer than 12students who enrolled in college is
Explanation of Solution
Given:
Number of students enrolled in college is,
Samples taken,
Calculation:
Here,
Probability of binomial distribution is,
Conclusion:
Therefore, the probability offewer than 12students who enrolled in college is
(d)
To explain: whether it is unusual if more than 25 students who enrolled in college
Answer to Problem 35E
It is not unusual if more than 25 students who enrolled in college
Explanation of Solution
Given:
Number of students enrolled in college is,
Samples taken,
Calculation:
Here,
The required probability is not low.
So, it would not be unusual if more than 25 students who enrolled in college
Conclusion:
Therefore, it is not unusual if more than 25 students who enrolled in college
(e)
To find: mean number if a sample of30 students who enrolled in college
Answer to Problem 35E
The mean number if a sample of30 students who enrolled in college is
Explanation of Solution
Given:
Number of students enrolled in college is,
Samples taken,
Calculation:
The mean number is,
Conclusion:
Therefore, the mean number if a sample of30 students who enrolled in college is
(f)
To find: standard deviation if a sample of30 students who enrolled in college
Answer to Problem 35E
The standard deviation if a sample of30 students who enrolled in college is
Explanation of Solution
Given:
Number of students enrolled in college is,
Samples taken,
Calculation:
The standard deviation is,
Conclusion:
Therefore, the standard deviation if a sample of30 students who enrolled in college is
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ELEMENTARY STATISTICS-ALEKS ACCESS 18W
- Algebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningCollege AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning