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
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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
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.
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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