The monthly income of residents of Daisy City is normally ...

[tfester]

The monthly income of residents of Daisy City is normally distributed with a mean of 3,000 and a standard deviation of 500.
 a. Define the random variable in words.
  b. The mayor of Daisy City makes 2,250 a month. What percentage of Daisy City's residents has incomes that are more than the mayor's?
 c. Individuals with incomes of less than 1,985 per month are exempt from city taxes. What percentage of residents is exempt from city taxes?
 d. What are the minimum and maximum incomes of the middle 95 of the residents?
  e. Two hundred residents have incomes of at least 4,440 per month. What is the population of Daisy City?

Question 2

A sample of 25 patients in a doctor's office showed that they had to wait an average of 35 minutes with a standard deviation of 10 minutes before they could see the doctor. Provide a 98 confidence interval estimate for the average waiting time of all the patients who visit this doctor. Assume the population of waiting times is normally distributed.

[HandsomeMarc]

Answer to Question 1

a. monthly income of residents of Daisy City
b. 93.32
c. 2.12
d. minimum = 2,020; maximum = 3,980
e. 100,000

Answer to Question 2

30.016 to 39.984

[tfester]

Thanks for the timely response, appreciate it

[T4T]

Gracias!