If we know that the length of time it takes a college student to find a parking spot in the library parking lot 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 college student will take between 2 and 4.5 minutes to find a parking spot in the library parking lot.
A)0.0919
B)0.2255
C)0.4938
D)0.7745

Question

Quizplus · Accepted Answer

The probability can be found by calculating the area under the normal distribution curve between 2 and 4.5 minutes. This involves finding the z-scores for 2 and 4.5 minutes and using the standard normal distribution table. 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 of z being between -1.5 and 1 is approximately 0.7745.

If We Know That the Length of Time It Takes