Originally Posted by

**transgalactic** on a circle with radius 1 there are two points one is static the other is

distributed evenly on the circle (i dont know the proper english term)

we sign X to be the hypotenuse on the circle

find the density function of the variable X

?

solution(i partialy understood it)the questions come after the photo

they say that we take x to be an angle from o til pi/2

we scan only the northern hemisphere because its symmetric.

what is the curv graph represents the length of the side "y" as the angle x varies from 0 to 90 degrees

what is t? the various values of y fom 0 to 2

what is the meaning of y<=t? y ranges from 0 to "t" for a specific "t"

why if they say that x should go from o til pi/2? x is the angle BCA

in the probability function they put x fro 0 till arcsin t/2 where t goes from

0<t<=2

? Since the triangle ABC is always right-angled at B, $\displaystyle Sinx=\frac{y}{2},\ y=t,\ Sinx=\frac{t}{2},\ x=Sin^{-1}\frac{t}{2} $

after this step they did the derivative to find the density function

i understand that step