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 1.6 b. What is the median recovery time? 4 days c. What is the Z-score for a patient that took 5.1 days to recover? 0.6875 d. What is the probability of spending more than 5 days in recovery? e. What is the probability of spending between 4.1 and 5.1 days in recovery? f. The 75th percentile for recovery times is days.
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 1.6 b. What is the median recovery time? 4 days c. What is the Z-score for a patient that took 5.1 days to recover? 0.6875 d. What is the probability of spending more than 5 days in recovery? e. What is the probability of spending between 4.1 and 5.1 days in recovery? f. The 75th percentile for recovery times is days.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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
1.6
b. What is the median recovery time? 4
days
c. What is the Z-score for a patient that took 5.1 days to recover? 0.6875
d. What is the probability of spending more than 5 days in recovery?
e. What is the probability of spending between 4.1 and 5.1 days in recovery?
f. The 75th percentile for recovery times is
days.
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