SOLUTION: The length of time it takes college students to find a parking spot in the library parking lot follows a normal distribution with mean of 7.0 minutes and a standard deviation of 1

Question 933040: The length of time it takes college students to find a parking spot in the library parking lot follows a normal distribution with mean of 7.0 minutes and a standard deviation of 1 minutes. Find the probability that a randomly selected college student will find a parking spot in the library parking lot in less than 6.5 minutes.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
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

-------------------------------------------------------

Step 2) Use a calculator or a table 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: 0.3085 (this is equivalent to roughly 30.85%)

------------------------------------------------------------------------------------------------------------------------

If you need more one-on-one help, email me at jim_thompson5910@hotmail.com. You can ask me a few more questions for free, but afterwards, I would charge you ($2 a problem to have steps shown or $1 a problem for answer only).

Alternatively, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Any amount is greatly appreciated as it helps me a lot. This donation is to support free tutoring. Thank you.

Jim
------------------------------------------------------------------------------------------------------------------------
RELATED QUESTIONS
The length of time it takes college students to find a parking spot in the library... (answered by ewatrrr)

The length of time it takes to find a parking space at 9 A.M. follows a normal... (answered by ewatrrr)

A college is creating a new rectangular parking lot. The length is 0.12 mile longer than (answered by math_helper,jorel1380)

Knox College is creating a new rectangular parking lot. The length is 0.07 mile longer... (answered by Theo)

Trying to encourage people to stop driving to campus, the university claims that on... (answered by ewatrrr)

a rectangular parking lot is twice as long as it width if the perimeter of the lot is 102 (answered by macston)

If a square parking lot has an area of 12,996 square yards, what would be the length of... (answered by josmiceli,Alan3354,josgarithmetic)

the length of a rectangle parking lot is 10 meters less than twice the width, the... (answered by mananth)

the length of a rectagular parking lot is 4 meters less than twice its width and the... (answered by checkley77)