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) 0.7745
C) 0.4938
D) 0.2255

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 then using the standard normal distribution table or a calculator to find the probability. 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