Question

The patient recovery time for a particular surgical procedure is normally distributed with a a mean of μ = 5.7 days and a standard deviation of σ = 1.2 days. (Round your answers to 3 decimal places.)
a) 95% of patients have a recovery time between  and  .

b) What is the recovery time for a patient who is 1.5 standard deviations below the mean?


c) If X is the recovery time, compute P(3≤X≤4) and interpret what it means in the context of the problem.
P(3≤X≤4) =  .
Interpretation:

d) Compute the z-score for a patient who takes 10 days to recover, and interpret what it means in the context of the problem.
z =
Interpretation:

e) Find the probability that a randomly selected patient will have a recovery time of more than 7 minutes?


f) Find the probability that 13 randomly selected patients will have recovery time of more that 7 minutes? (round your answer to 6 decimal places.)

Answer 1