A product of a fraction that is less than one has a top number that's smaller than the bottom number, and if the top number is bigger than the bottom number it is considered a improper fraction and its greater than one. Another way to write a fraction that is greater than one (improper fractions) is turning it into a mixed number.

has CDF

The CDF of

is then



which is the CDF of a Weibull distribution with shape parameter

and scale parameter

.
The answer to the question
The same reason that you need to have the same amount of weight on both sides of something. It is a part of laws of math, you cant have an unbalanced chemical equation the same way you cant have an unbalanced math equation. You have to look at it like its a physical thing that has properties, not just ink on a paper.
#of guests waitstaff tip
10 18
20 36
30 54
40 72
50 90
<span>If the tip varies directly with the number of guests, which equation represents the relationship between the tip, t, and the number of guests, g?
t = 1.8g t = g/18 g = 1.8t g = t/18
</span>
18/10 = 1.8
36/20 = 1.8
54/30 = 1.8
direct variation: <span>t = 1.8g</span>