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 probability that a randomly selected college student will find a parking spot in the library parking lot in less than 3 minutes. What type of problem is this? Poisson Random variable Sample mean Sample proportion Normal

a) The probability that a randomly selected college student will find a parking spot in the library parking lot in less than 3 minutes = 0.309

b) Check the beginning of Explanation for which type of dustribution this is.

Step-by-step explanation:

A distribution with the mean given and the spread around the mean (standard deviation) given, is a normal distribution. Especially as it shows that the distribution is symmetric around the mean.

To find the probability that a randomly selected college student will find a parking spot in the library parking lot in less than 3 minutes.

We first standardize '3 minutes'.

The standardized score is the value minus the mean then divided by the standard deviation.

z = (x - μ)/σ = (3 - 3.5)/1 = - 0.5

probability that a randomly selected college student will find a parking spot in the library parking lot in less than 3 minutes.

P(x < 3) = P(z < -0.5)

We'll use data from the normal probability table for these probabilities

P(x < 3) = P(z < -0.5) = 1 - P(z ≥ - 0.5) = 1 - P(z ≤ 0.5) = 1 - 0.691 = 0.309.

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".