Question

The patient recovery time from a particular surgical procedure is normally distributed with a mean of 10 days and a standard deviation of 5 days. What is the probability that it will take less than 10 days to a randomly selected patient to recover from the surgical procedure?

Answer 1

Solution:

Given, X follows Normal distribution with,

   = 10

   = 5

Find P(X < 10)

= P[(X - )/ <  (10 - )/]

= P[Z <  (10 - 10)/5]

= P[Z < 0]

= 0.5 ... ( use z table)

P(X < 10) = 0.5