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 point in the distribution in which 75.8% of the college students exceed when trying to find a parking spot in the library parking lot.
A. 2.8 minutes
B. 3.2 minutes
C. 3.4 minutes
D. 4.2 minutes
Without that site, you can still figure it out.
Z = (x - mean)/standard deviation
In the back of your text, there is a table labeled something like "areas under normal distribution." Find that percentage in the table to determine your Z score. Put the values in the above equation and solve.
I hope this helps a little more.
http://davidmlane.com/hyperstat/z_table.html
Thank you for your help bobpursley and PsyDAG.
I believe the answer is 2.8 minutes. However, the wording of the question using 'exceed' is confusing to me. How do you confirm it is indeed 2.8 minutes and not 4.2 minutes.
Thanks again.
If we know carry equal marks library parking lot time it takes college student to nnd a parking spot in the deviation of follows a normal distribution with a mean of 3.5 minut a parking 1 minute, find the probability that a r randomly selected college student will find a spot in the library parking lot in less than 3 minutes
To find the point in the distribution at which 75.8% of the college students exceed when trying to find a parking spot, we need to find the corresponding z-score.
First, we need to find the z-score that corresponds to the cumulative probability of 75.8%. This can be found using a standard normal distribution table or a calculator. The z-score for a cumulative probability of 75.8% is approximately 0.68.
The z-score formula is:
z = (x - μ) / σ
where:
z is the z-score
x is the value we want to find (the point in the distribution)
μ is the mean of the distribution (3.5 minutes)
σ is the standard deviation of the distribution (1 minute)
Rearranging the formula, we have:
x = μ + (z × σ)
Substituting the values into the formula, we get:
x = 3.5 + (0.68 × 1)
x = 3.5 + 0.68
x = 4.18
So, 75.8% of college students exceed 4.18 minutes when trying to find a parking spot in the library parking lot.
Of the given answer choices:
A. 2.8 minutes
B. 3.2 minutes
C. 3.4 minutes
D. 4.2 minutes
The closest answer to 4.18 minutes is D. 4.2 minutes.