The patient recovery time from a particular surgical procedure is normally distributed with a mean of 4 days and a standard deviation of 1.8 days. Let X be the recovery time for a randomly selected patient. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. What is the median recovery time? days c. What is the Z-score for a patient that took 5.9 days to recover?

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The patient recovery time from a particular surgical procedure is normally distributed with a mean
of 4 days and a standard deviation of 1.8 days. Let X be the recovery time for a randomly selected
patient. Round all answers to 4 decimal places where possible.
a. What is the distribution of X? X - N
b. What is the median recovery time?
days
c. What is the Z-score for a patient that took 5.9 days to recover?
d. What is the probability of spending more than 3.7 days in recovery?
e. What is the probability of spending between 4.4 and 5 days in recovery?
f. The 85th percentile for recovery times is
days.
Transcribed Image Text:The patient recovery time from a particular surgical procedure is normally distributed with a mean of 4 days and a standard deviation of 1.8 days. Let X be the recovery time for a randomly selected patient. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N b. What is the median recovery time? days c. What is the Z-score for a patient that took 5.9 days to recover? d. What is the probability of spending more than 3.7 days in recovery? e. What is the probability of spending between 4.4 and 5 days in recovery? f. The 85th percentile for recovery times is days.
Expert Solution
Step 1 as per guideline expert have to answer first three subparts only.

given data normal distributionμ= 4σ = 1.8x = recovery time of patient

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