Question 933040
Step 1) Convert the raw score x = 6.5 to a z-score (mu = 7, sigma = 1)



z = (x-mu)/sigma



z = (6.5-7)/1



z = -0.5



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Step 2) Use a calculator or a <a href="http://www.stat.ufl.edu/~athienit/Tables/Ztable.pdf">table</a> to find the area under the curve to the left of z = -0.5. I'm using the table.



Using the table, I get P(Z < -0.5) = 0.3085



So, P(X < 6.5) = 0.3085



So the probability that a randomly selected college student will find a parking spot in the library parking lot in less than 6.5 minutes is approximately 0.3085



Final Answer: <font size=5 color="red">0.3085</font> (this is equivalent to roughly 30.85%)


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