E Question Help For a random variable x, a new random variable y can be created by applying a linear transformation y = a + bx, where a and b are constants. If the random variable x has mean u, and standard deviationo, then the mean, variance and standard deviation of y are given by the following formulas, Hy = a + bu, oy =box o, = bla, The mean annual salary for employees at a company is $38,000. At the end of the year, each emplovee receives a $5000 bonus and a 3% raise (based on salary). What is the new mean annual salary (including the bonus and raise) for the employees? The new mean annual salary is S
E Question Help For a random variable x, a new random variable y can be created by applying a linear transformation y = a + bx, where a and b are constants. If the random variable x has mean u, and standard deviationo, then the mean, variance and standard deviation of y are given by the following formulas, Hy = a + bu, oy =box o, = bla, The mean annual salary for employees at a company is $38,000. At the end of the year, each emplovee receives a $5000 bonus and a 3% raise (based on salary). What is the new mean annual salary (including the bonus and raise) for the employees? The new mean annual salary is S
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![For a random variable x, a new random variable y can be created by applying a linear transformation y = a + bx, where a and b are constants. If the random variable x has mean μₓ, and standard deviation σₓ, then the mean, variance, and standard deviation of y are given by the following formulas:
- Mean: μᵧ = a + bμₓ
- Variance: σ²ᵧ = b²σ²ₓ
- Standard Deviation: σᵧ = |b|σₓ
The mean annual salary for employees at a company is $38,000. At the end of the year, each employee receives a $5000 bonus and a 3% raise (based on salary). What is the new mean annual salary (including the bonus and raise) for the employees?
The new mean annual salary is $ ________.
Enter your answer in the answer box.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F049b2046-729f-4b6c-a625-b407d7bf1205%2Ff097f0c0-2027-4368-8ead-d710889250ca%2Fdpbml85_processed.jpeg&w=3840&q=75)
Transcribed Image Text:For a random variable x, a new random variable y can be created by applying a linear transformation y = a + bx, where a and b are constants. If the random variable x has mean μₓ, and standard deviation σₓ, then the mean, variance, and standard deviation of y are given by the following formulas:
- Mean: μᵧ = a + bμₓ
- Variance: σ²ᵧ = b²σ²ₓ
- Standard Deviation: σᵧ = |b|σₓ
The mean annual salary for employees at a company is $38,000. At the end of the year, each employee receives a $5000 bonus and a 3% raise (based on salary). What is the new mean annual salary (including the bonus and raise) for the employees?
The new mean annual salary is $ ________.
Enter your answer in the answer box.
![**Analysis of HD Televisions in Households**
Using the data provided, determine whether it would be unusual for a household to have no HD televisions.
**Data Summary:**
- **Number of Televisions (HD) per Household in a Small Town:**
- 0 televisions: 26 households
- 1 television: 445 households
- 2 televisions: 655 households
- 3 televisions: 1474 households
- **Probability P(x):**
- 0 televisions: 0.010
- 1 television: 0.171
- 2 televisions: 0.252
- 3 televisions: 0.567
**Question:**
Choose the correct answer regarding the unusual nature of having no HD televisions in a household.
**Options:**
- **A.** It would be unusual because the probability of having no HD televisions is less than 0.05.
- **B.** It would not be unusual because the probability of having no HD televisions is more than 0.05.
- **C.** It would not be unusual because 26 people have no HD televisions in the town.
- **D.** It would be unusual because 26 people have no HD televisions in the town.
*Click to select your answer.*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F049b2046-729f-4b6c-a625-b407d7bf1205%2Ff097f0c0-2027-4368-8ead-d710889250ca%2Fyquajkr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Analysis of HD Televisions in Households**
Using the data provided, determine whether it would be unusual for a household to have no HD televisions.
**Data Summary:**
- **Number of Televisions (HD) per Household in a Small Town:**
- 0 televisions: 26 households
- 1 television: 445 households
- 2 televisions: 655 households
- 3 televisions: 1474 households
- **Probability P(x):**
- 0 televisions: 0.010
- 1 television: 0.171
- 2 televisions: 0.252
- 3 televisions: 0.567
**Question:**
Choose the correct answer regarding the unusual nature of having no HD televisions in a household.
**Options:**
- **A.** It would be unusual because the probability of having no HD televisions is less than 0.05.
- **B.** It would not be unusual because the probability of having no HD televisions is more than 0.05.
- **C.** It would not be unusual because 26 people have no HD televisions in the town.
- **D.** It would be unusual because 26 people have no HD televisions in the town.
*Click to select your answer.*
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