The patient recovery time from a particular surgical procedure is normally distributed with a mean of 4 days and a standard deviation of 1.5 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 6 days to recover? d. What is the probability of spending more than 3.1 days in recovery? e. What is the probability of spending between 3.4 and 4 days in recovery? f. The 80th percentile for recovery times is days.

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