The length of time it takes college students to find a parking spot in the library parking lot follows a normaldistribution with a mean of 3.0 minutes and a standard deviation of 1 minute. Find the probability that arandomly selected college student will find a parking spot in the library parking lot in less than 2.5 minutes.
A) 0.3085
B) 0.1915
C) 0.3551
D) 0.2674

Question

Quizplus · Accepted Answer

To find the probability, we use the Z-score formula: Z = (X - μ) / σ, where X is the value (2.5 minutes), μ is the mean (3.0 minutes), and σ is the standard deviation (1 minute). Plugging in the values gives Z = (2.5 - 3.0) / 1 = -0.5. Looking up the Z-score of -0.5 in a standard normal distribution table gives a probability of approximately 0.3085.

The Length of Time It Takes College Students to Find