The patient recovery time from a particular surgical procedure is normally distributed with a mean of 4 days and a standard deviation of 2 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 5.7 days to recover? d. What is the probability of spending more than 3.6 days in recovery? e. What is the probability of spending between 4.1 and 5.1 days in recovery? f. The 80th percentile for recovery times is days.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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 2 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 5.7 days to recover?
d. What is the probability of spending more than 3.6 days in recovery?
e. What is the probability of spending between 4.1 and 5.1 days in recovery?
f. The 80th 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 2 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 5.7 days to recover? d. What is the probability of spending more than 3.6 days in recovery? e. What is the probability of spending between 4.1 and 5.1 days in recovery? f. The 80th percentile for recovery times is days.
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