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?
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
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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![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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe2c89fb8-28c7-4f54-82f8-eda7977d51b8%2Faf2b9607-be55-45de-863e-9ae477261eba%2Fyg262v6_processed.jpeg&w=3840&q=75)
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
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1
Given that the mean and standard deviation of the normal distribution are
Mu = 2200 and standard deviation = 592
Step by step
Solved in 2 steps with 1 images
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