c) If X is the recovery time, compute P (4 < x < 5.5) and interpret what it means in the context of the problem.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 2E
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c?

The patient recovery time for a particular surgical procedure is normally
distributed with a mean of 6.4 days and a standard deviation of 2.3 days.
and
a) The middle 95% of patients have a recovery time between
b) Compute the probability for a patient having a recovery time more than 12
days. Write the mathematical probability statement.
c) If X is the recovery time, compute P (4 < x < 5.5) and interpret what it
means in the context of the problem.
d) Compute the z-score for a patient who takes 9 days to recover, and interpret
what it means in the context of the problem.
e) Compute the patient recovery time for a particular surgical procedure that is at
the 75th percentile. Round to the nearest whole number.
Transcribed Image Text:The patient recovery time for a particular surgical procedure is normally distributed with a mean of 6.4 days and a standard deviation of 2.3 days. and a) The middle 95% of patients have a recovery time between b) Compute the probability for a patient having a recovery time more than 12 days. Write the mathematical probability statement. c) If X is the recovery time, compute P (4 < x < 5.5) and interpret what it means in the context of the problem. d) Compute the z-score for a patient who takes 9 days to recover, and interpret what it means in the context of the problem. e) Compute the patient recovery time for a particular surgical procedure that is at the 75th percentile. Round to the nearest whole number.
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