Exercise 11.0:The mean weight of boxes shipped by a company is 12 lbs, with a standard deviation of 4 lbs. Assume weight of boxes follows Normal Distribution. Boxes are shipped in palettes of 10 boxes. The shipper has a limit of 150 lbs for such shipments. What’s the probability that a palette of 10 boxes will exceed that limit (150 lbs)? HINT: Prob (total weight of a sample of 10 boxes >150 lbs) = Prob (the sample mean weight ( ) > 15 lbs)푦

The probability that a palette of 10 boxes will exceed the limit of 150 lbs is 0.0089.

Step-by-step explanation:

Let X = the weight of boxes shipped by a company.

The random variable x follows a Normal distribution with mean, μ = 12 lbs and standard deviation, σ = 4 lbs.

Each palettes shipped, contains n = 10 boxes.

The sample mean weight of the boxes follows a Normal distribution with mean, and standard deviation, .

Compute the probability that the sample mean weight of the 10 boxes exceed 15 lbs as follows:

*Use a z-table for the probability.

Thus, the probability that a palette of 10 boxes will exceed the limit of 150 lbs is 0.0089.

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'.

hi there!

the answer will be d: 2