A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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Question

I answered A,B AND C. I NEED HELP TO SOLVE PROBLEM NUMBER D,E AND F ONLY

The patient recovery time from a particular surgical procedure is normally distributed with a mean of 4 days and a standard deviation of 1.7 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 1.7 b. What is the median recovery time? 4 days c. What is the Z-score for a patient that took 5.4 days to recover? 0.8235 d. What is the probability of spending more than 4.4 days in recovery? e. What is the probability of spending between 4.1 and 4.9 days in recovery? f. The 85th percentile for recovery times is days.
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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 1.7 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 1.7 b. What is the median recovery time? 4 days c. What is the Z-score for a patient that took 5.4 days to recover? 0.8235 d. What is the probability of spending more than 4.4 days in recovery? e. What is the probability of spending between 4.1 and 4.9 days in recovery? f. The 85th percentile for recovery times is days.
Expert Solution
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Step 1

It is given that

X = recovery times of patients 

And it follows N(mean = 4, SD = 1.7), then

Z = (X - mean)/SD follows N(0,1)

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