Question

Patients in a hospital are released from emergency room in an average time of 3 hours with standard deviation of 20 min. Assuming normal distribution:

(a) What portion of patients are expected to be released in less than an hour?

(b) What is the probability that a patient is released from emergency room between 150 to 190 min?

Answer 1

Answers:

a. 0% of patients are expected to release from emergency room in less than one hour.

b. Probability that a patient is released from emergency room between 150 to 190 min is 0.6247

Complete solution is given in attached image:

let to x= time required for patient release from emergency zoom. Given XUN(180, 20² a Therefore prortion expected to than one hour of patients that be released in less is P (X260) = P =180 40-180) z zo 2o P(Z <-6) z N "N(0,1) 0.000 Therefore 0% of patient are expected to be released in less than one hour. released b) Probability that patient is from emergency room between 150 to 190 min p(150< x <190) is A500-180 X-180 190-100) = P(-1-5222 L 2o <0.5) PTZ 20:5) P(Z <=105 0.6915 -0.0668 = 0.6247

Thank You.