Let x be the sample median of uniform random variables. find a good numerical approximation for the 75th percentile of the distribution of x.

P₇₅ = (3/2) X

Step-by-step explanation:

Given

The median m = P₅₀ = X

P₇₅ = ?

Knowing that

P₅₀ = X = n*50/100

where n is the number of data points

If

X = n*50/100    ⇒   n = 2X

then we apply the formula

P₇₅ = n*75/100

⇒  P₇₅ = (2X)*75/100

⇒  P₇₅ = (3/2) X

y=-2.5x+12.5

step-by-step explanation:

5y=2x+10

y=0.4x+2

slope=-2.5

5=-2.5*3+b

b=12.5