For a certain population IQ-scores are approximately normally distributed with a mean of 97 points and a standard deviation of 16 points. (a) What is the z-score for a member of this population that has an IQ of 141? (Give your answer to two decimal places.)

(b) What is the probability that a person chosen at random from this group has an IQ in excess of 141? (Give your answer to two decimal places.)

(c) What IQ-score is at the 95th percentile? (Give your answer to two decimal places.)

(d) Find the median, quartiles and interquartile range for these IQ scores. (Give your answers to two decimal places.)
Median =
Q1 =
Q3 =
IQR =

529 and 531

step-by-step explanation:

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.