In: Statistics and Probability
The patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.3 days and a standard deviation of 2.1 days.
Sketch a graph of the distribution indicating the mean and +/- 3 standard deviation with vertical lines.
What is the probability of a recovery taking longer than 7 days?
P(4.75 days < x < 6.25 days) = ?
P(x < 2 days) = ?
What is the expected recovery time for the first quartile of patients?
please show work
corresponding z-score to p = 0.25 (for first quartile is -0.674
now x= z*standard deviation+mean
= -0.674*2.1+5.3
= -1.4154+5.3
= 3.885
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