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The patient recovery time from a particular surgical procedure is normally distributed with a mean of...

The patient recovery time from a particular surgical procedure is normally distributed with a mean of 3 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 4.5 days to recover? ______

d. What is the probability of spending more than 2 days in recovery? ______

e. What is the probability of spending between 3.4 and 3.9 days in recovery? ______

f. The 80th percentile for recovery times is _____ days.

*** Enter a decimal or integral number, accurate to at least 4 decimal places.

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