According to the United Healthcare, a visit to a hospital emergency room has a mean cost of $2,200. Assume that the cost for the hospital emergency room visit is normally distributed with a mean of $2,200 and a standard deviation of $592. Answer the following questions about the cost of a hospital emergency room visit for this medical service. Show your work. a. What is the probability that the cost will be more than $3,000? b. What is the probability that the cost will be less than $1,500? c. What is the probability that the cost will be between $1,500 and $3,500? d. If the cost to a patient is in the lower 8% of charges for this medical service, what was the cost of this patient's emergency room visit?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Question
According to United Healthcare, a visit to a hospital emergency room has a mean cost of $2,200. Assume that the cost for the hospital emergency room visit is normally distributed with a mean of $2,200 and a standard deviation of $592. Answer the following questions about the cost of a hospital emergency room visit for this medical service. Show your work.

a. What is the probability that the cost will be more than $3,000?  
b. What is the probability that the cost will be less than $1,500?  
c. What is the probability that the cost will be between $1,500 and $3,500?  
d. If the cost to a patient is in the lower 8% of charges for this medical service, what was the cost of this patient's emergency room visit?
Transcribed Image Text:According to United Healthcare, a visit to a hospital emergency room has a mean cost of $2,200. Assume that the cost for the hospital emergency room visit is normally distributed with a mean of $2,200 and a standard deviation of $592. Answer the following questions about the cost of a hospital emergency room visit for this medical service. Show your work. a. What is the probability that the cost will be more than $3,000? b. What is the probability that the cost will be less than $1,500? c. What is the probability that the cost will be between $1,500 and $3,500? d. If the cost to a patient is in the lower 8% of charges for this medical service, what was the cost of this patient's emergency room visit?
Expert Solution
Step 1

Given that the mean and standard deviation of the normal distribution are 

Mu = 2200 and standard deviation = 592

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON