The patient recovery time from a particular surgical procedure is normally distributed with a mean of 4 days and a standard deviation of 1.6 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(4 b. What is the median recovery time? 4 1.6 days o c. What is the Z-score for a patient that took 5.5 days to recover? 0.9375 d. What is the probability of spending more than 4.8 days in recovery? f. The 70th percentile for recovery times is e. What is the probability of spending between 4.2 and 4.8 days in recovery? days.

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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 1.6 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(4
b. What is the median recovery time? 4
1.6
days o
c. What is the Z-score for a patient that took 5.5 days to recover? 0.9375
d. What is the probability of spending more than 4.8 days in recovery?
f. The 70th percentile for recovery times is
e. What is the probability of spending between 4.2 and 4.8 days in recovery?
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 1.6 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(4 b. What is the median recovery time? 4 1.6 days o c. What is the Z-score for a patient that took 5.5 days to recover? 0.9375 d. What is the probability of spending more than 4.8 days in recovery? f. The 70th percentile for recovery times is e. What is the probability of spending between 4.2 and 4.8 days in recovery? days.
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