Please help will give brainliest. NO LINKS This probability distribution shows the
typical distribution of the number of shoes
in a teenager's closet.
Shoes
1
2
3
4
5
Frequency
12
20
38
20
10
Using this distribution, find the probability
that a teenager has exactly 4 pairs of shoes
in their closet.
p = [?]

Step-by-step explanation:

y being directly proportional to the square of x means that the ratio between the two will always be equal to some constant (let's call it k). In equation form, we'd say:

We're told that y = 96 when x = 4, so we can plug those values in to find k:

Our more general equation is now

If we want to put y in terms of x, we need to get the y by itself on one side of the equation, which we can do here by multiplying both sides by x², giving us