Question

The monthly income of residents of Daisy City is normally distributed with a mean of $3000 and a standard deviation of $500. 1) What percentage of Daisy City's residents has incomes that are less than $3400? a. 0.7881 b. 0.2000 c. 0.2119 d. 0.8000 The mayor of Daisy City makes $2,450 a month. What percentage of Daisy City's residents has incomes that are more than the mayor's but less than $3600? a. 0.8849 b. 0.1357 c. 0.1151 d. 0.7492 Individuals who earn more than a certain level of income per month are required to pay city taxes. Assuming that 58% of residents pay city taxes, then the income level that triggers city tax is ____ 3875 3101 2124 2988

          The monthly income of residents of Daisy City is normally distributed with a mean of $3000 and a standard deviation of $500.

1) What percentage of Daisy City's residents has incomes that are less than $3400?
a. 0.7881
b. 0.2000
c. 0.2119
d. 0.8000

The mayor of Daisy City makes $2,450 a month. What percentage of Daisy City's residents has incomes that are more than the mayor's but less than $3600?
a. 0.8849
b. 0.1357
c. 0.1151
d. 0.7492

Individuals who earn more than a certain level of income per month are required to pay city taxes. Assuming that 58% of residents pay city taxes, then the income level that triggers city tax is ____
3875
3101
2124
2988

Show more…

Added by Marie G.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Sheryl Ezze

01/02/2023

Step 1

The z-score is calculated as (X - μ) / σ, where X is the value we're interested in, μ is the mean, and σ is the standard deviation. So, the z-score for $3400 is (3400 - 3000) / 500 = 0.8. Looking up 0.8 in a standard normal distribution table, we find that the Show more…

Show all steps

lock

Thanks for your feedback!

The monthly income of residents of Daisy City is normally distributed with a mean of $3000 and a standard deviation of $500. 1) What percentage of Daisy City's residents has incomes that are less than $3400? a. 0.7881 b. 0.2000 c. 0.2119 d. 0.8000 The mayor of Daisy City makes $2,450 a month. What percentage of Daisy City's residents has incomes that are more than the mayor's but less than $3600? a. 0.8849 b. 0.1357 c. 0.1151 d. 0.7492 Individuals who earn more than a certain level of income per month are required to pay city taxes. Assuming that 58% of residents pay city taxes, then the income level that triggers city tax is ____ 3875 3101 2124 2988

Play audio

Feedback

Powered by NumerAI

Sheryl Ezze and 52 other subject Intro Stats / AP Statistics educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Recommended Videos

Recommended Textbooks

Transcript

Ace is your personal tutor. It breaks down any question with clear steps so you can learn.

Start Using Ace

Continue solving this problem

Create a free account to:

View full step-by-step solution
Ask follow-up questions with Ace AI
Save progress and study later