If we know that the length of time it takes a university student to find a parking space in the university car park follows a normal distribution with a mean of 3.5 minutes and a standard deviation of 1 minute,find the probability that a randomly selected university student will take between 2 and 4.5 minutes to find a parking space in the car park.
A) 0.4938
B) 0.0919
C) 0.2255
D) 0.7745

Question

Quizplus · Accepted Answer

To find the probability that a student takes between 2 and 4.5 minutes, we calculate the z-scores for 2 and 4.5 minutes and then find the area under the normal distribution curve between these z-scores. The z-score for 2 minutes is (2-3.5)/1 = -1.5, and for 4.5 minutes is (4.5-3.5)/1 = 1. The probability between these z-scores is approximately 0.7745.

If We Know That the Length of Time It Takes