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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 1.8 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 4.9 days to recover? ________
d. What is the probability of spending more than 2.5 days in recovery? ______
e. What is the probability of spending between 3.5 and 4.2 days in recovery?______
f. The 70th percentile for recovery times is _____ days.
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