F 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 probability that a randomly selected college student will find a parking spot in the library parking lot in less than 3 minutes. You should use the finite population correction factor for this problem. True False

And we can find this probability with the normal standard table or excel and we got:

And for this case is not neccesary applt the finite population correction factor since the distribution for the random variable is assumed known and normal

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the length of time of a population, and for this case we know the distribution for X is given by:

Where and

We are interested on this probability

And the best way to solve this problem is using the normal standard distribution and the z score given by:

If we apply this formula to our probability we got this:

And we can find this probability with the normal standard table or excel and we got:

And for this case is not neccesary applt the finite population correction factor since the distribution for the random variable is assumed known and normal

because its not ur topic and its not for is for homework not that.

where is abdul's work? don't see that anywhere posted : /

step-by-step explanation: