Solve the problem.
-The length of time it takes college students to find a parking spot in the library parking lot follows a normal distribution with a mean of 5.0 minutes and a standard deviation of 1 minute. Find the probability that a
Randomly selected college student will take between 3.5 and 6.0 minutes to find a parking spot in the library lot.
A) 0.7745
B) 0.2255
C) 0.4938
D) 0.0919

Question

Quizplus · Accepted Answer

To find the probability that a time is between 3.5 and 6.0 minutes, we use the Z-score formula: Z = (X - μ) / σ, where X is the value, μ is the mean, and σ is the standard deviation. For X = 3.5, Z = (3.5 - 5.0) / 1 = -1.5. For X = 6.0, Z = (6.0 - 5.0) / 1 = 1.0. Using a Z-table or calculator, the probability of Z being between -1.5 and 1.0 is approximately 0.7745.

Solve the Problem. -The Length of Time It Takes College Students to Find