Choose a point uniformly at random in a unit square (square of side length 1). Let X be the distance from the point chosen to th
e nearest edge of
the square.
(a) Find the cumulative distribution function of X .
(b) Find the probability density function of X .
the square.
(a) Find the cumulative distribution function of X .
(b) Find the probability density function of X .
1 answer:
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Answer:
1.
Step-by-step explanation:
We can see that CD is angle bisector, So we will use angle bisector theorem which states that the angle bisector of an angle of a triangle divides the opposite side in two segments that are proportional to the other two sides of the triangle.
We can set up an equation as:
Upon substituting our given values we will get,
Cross multiplying our equation we will get,
Therefore, the length of AD is units and 1st option is the correct choice.