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The patient recovery time from a particular surgical procedure is normally distributed with a mean of 3 days and a standard deviation of 1.9 days.

The patient recovery time from a particular surgical procedure is normally distributed with a mean of 3 days and a standard deviation of 1.9 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 days to recover?_______

d. What is the probability of spending more than 2.7 days in recovery? ________

e. What is the probability of spending between 2.5 and 3.5 days in recovery? _________

f. The 70th percentile for recovery times is ________ days

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