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)
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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?
Transcribed Image Text: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?
Expert Solution
Step 1

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

Mu = 2200 and standard deviation = 592

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