Assume a continuous uniform probability distribution over the range [47, 51.5]. what is the skewness of the probability distribution?

The skewness of the probability distribution is zero (0)

Step-by-step explanation:

The skewness is an statistical measure of the asymmetry of your data and your corresponding probability distribution around the mean value. When the probability density function has large values the distribution is positively skewed ( probability is concentrated in the right) and when it has low values is negatively skewed (probability is concentrated in the left). When the probability function is symmetrical around the mean, that means that the image at the left or right of the mean is identical,  the skew is zero. That's the case with the uniform probability distribution, because all values are equally probable, so the density function is identical by the left and right of the mean, no matter the initial value (in this case 47) or final value (in this case 51.5). When this occurs skewness is zero (see image).

the answer to this question is yes

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'.