A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50. Find Peo, the score which separates the lower 60% from the top 40%.
Round to one decimal place.
O A. 212.7
OB. 207.8
OC. 211.3
OD. 187.5

A. 212.7

Step-by-step explanation:

To find the score that separate the lower 60% from the top 40% , we need to know the z value that satisfy:

P(Z<z) = 0.6

So, using the standard normal table, we know that the z value is equal to 0.2533

Then, the score x that is equivalent to the z value 0.25 can be calculate as:

Where m is the mean and s is the standard deviation. Therefore, replacing z by 0.25, m by 200 and s by 50, we get:

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )