![Elementary Statistics 2nd Edition](https://www.bartleby.com/isbn_cover_images/9781259724275/9781259724275_smallCoverImage.jpg)
Concept explainers
Stay in school: In a recent school year in the state of Washington, there were 326,000 high school students. Of these, 159,000 were girls and 167,000 were boys. Among the girls, 7800 dropped out of school, and among the boys, 10,300 dropped out. A student is chosen at random.
- What is the
probability that the student is male? - What is the probability that the student dropped out?
- What is the probability that the student is male arid dropped out?
- Given that the student is male, what is die probability that he dropped out?
- Given that the student dropped out, what is the probability that the student is male?
(a)
![Check Mark](/static/check-mark.png)
The probability that randomly chosen student is male.
Answer to Problem 43E
Explanation of Solution
Given:
Total number of students is 326,000.Total number of girls is 159,000 and boys is 167,000.
Number of droppedout from girls is 7800 and that of boys is 10,300.
Formula Used:
Probability of an event is given by
Calculation:
Let
Hence, the probability that randomly chosen student is male,is
(b)
![Check Mark](/static/check-mark.png)
The probability that randomly chosen student is dropped out.
Answer to Problem 43E
Explanation of Solution
Given:
Total number of students is 326,000.Total number of girls is 159,000 and boys is 167,000.
Number of droppedout from girls is 7800 and that of boys is 10,300.
Formula Used:
Probability of an event is given by
Calculation:
Let
Hence, the probability that randomly chosen student is dropped out, is
(c)
![Check Mark](/static/check-mark.png)
The probability that the student is dropped outand male.
Answer to Problem 43E
Explanation of Solution
Given:
Total number of students is 326,000.Total number of girls is 159,000 and boys is 167,000.
Number of droppedout from girls is 7800 and that of boys is 10,300.
Formula Used:
For any two t events
Calculation:
Let
Let
So,
There are 10,3000male who are dropped out.
The probability that the thestudent is dropped out and male, is
(d)
![Check Mark](/static/check-mark.png)
The probability to a student of being dropped out, given that student is male.
Answer to Problem 43E
Explanation of Solution
Given:
Total number of students is 326,000.Total number of girls is 159,000 and boys is 167,000.
Number of droppedout from girls is 7800 and that of boys is 10,300.
Formula Used:
For any two dependent events
Where
Calculation:
Let
Let
So,
There are 10,3000male who are dropped out.
Therefore,
So, the probability of the event “a student of being dropped out, given that student is male” is calculated as follows:
The probability to a student of being dropped out, given that student is male is
(e)
![Check Mark](/static/check-mark.png)
The probability to a student of being male, given that student is dropped out.
Answer to Problem 43E
Explanation of Solution
Given:
Total number of students is 326,000.Total number of girls is 159,000 and boys is 167,000.
Number of droppedout from girls is 7800 and that of boys is 10,300.
Formula Used:
For any two dependent events
Where
Calculation:
Let
Let
So,
There are 10,3000male who are dropped out.
Therefore,
So, the probability of the event “a student of being dropped out, given that student is male” is calculated as follows:
The probability to a student of being male, given that student is dropped out is
Want to see more full solutions like this?
Chapter 5 Solutions
Elementary Statistics 2nd Edition
- 2 (VaR and ES) Suppose X1 are independent. Prove that ~ Unif[-0.5, 0.5] and X2 VaRa (X1X2) < VaRa(X1) + VaRa (X2). ~ Unif[-0.5, 0.5]arrow_forward8 (Correlation and Diversification) Assume we have two stocks, A and B, show that a particular combination of the two stocks produce a risk-free portfolio when the correlation between the return of A and B is -1.arrow_forward9 (Portfolio allocation) Suppose R₁ and R2 are returns of 2 assets and with expected return and variance respectively r₁ and 72 and variance-covariance σ2, 0%½ and σ12. Find −∞ ≤ w ≤ ∞ such that the portfolio wR₁ + (1 - w) R₂ has the smallest risk.arrow_forward
- 7 (Multivariate random variable) Suppose X, €1, €2, €3 are IID N(0, 1) and Y2 Y₁ = 0.2 0.8X + €1, Y₂ = 0.3 +0.7X+ €2, Y3 = 0.2 + 0.9X + €3. = (In models like this, X is called the common factors of Y₁, Y₂, Y3.) Y = (Y1, Y2, Y3). (a) Find E(Y) and cov(Y). (b) What can you observe from cov(Y). Writearrow_forward1 (VaR and ES) Suppose X ~ f(x) with 1+x, if 0> x > −1 f(x) = 1−x if 1 x > 0 Find VaRo.05 (X) and ES0.05 (X).arrow_forwardJoy is making Christmas gifts. She has 6 1/12 feet of yarn and will need 4 1/4 to complete our project. How much yarn will she have left over compute this solution in two different ways arrow_forward
- Solve for X. Explain each step. 2^2x • 2^-4=8arrow_forwardOne hundred people were surveyed, and one question pertained to their educational background. The results of this question and their genders are given in the following table. Female (F) Male (F′) Total College degree (D) 30 20 50 No college degree (D′) 30 20 50 Total 60 40 100 If a person is selected at random from those surveyed, find the probability of each of the following events.1. The person is female or has a college degree. Answer: equation editor Equation Editor 2. The person is male or does not have a college degree. Answer: equation editor Equation Editor 3. The person is female or does not have a college degree.arrow_forwardneed help with part barrow_forward
- Suppose you know that Bob's test score is above the mean, but he doesn't remember by how much. At least how many students must score lower than Bob?arrow_forwardIf a baby's weight is at the median, what's her percentile?arrow_forwardAt the same restaurant as in Question 19 with the same normal distribution, what's the chance of it taking no more than 15 minutes to get service?arrow_forward
- Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGALCollege Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
- College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningAlgebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
![Text book image](https://www.bartleby.com/isbn_cover_images/9780547587776/9780547587776_smallCoverImage.jpg)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781337282291/9781337282291_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781305652231/9781305652231_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781305115545/9781305115545_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781305071742/9781305071742_smallCoverImage.gif)