Suppose you select two numbers at random with replacement from the set {1, 2, 3} and then you form a rectangle with the first number as the length of the rectangle and the second number as the height of the rectangle. Let X be the area of the rectangle so formed. Find the probability mass function of X.

Question

Mathematics

Yair Carpenter

5 January, 01:23

Suppose you select two numbers at random with replacement from the set {1, 2, 3} and then you form a rectangle with the first number as the length of the rectangle and the second number as the height of the rectangle. Let X be the area of the rectangle so formed. Find the probability mass function of X.

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Devan Martin · Answer 1

Let X be the rectangular distribution

where X is uniformly distribute (3,1)

b=1

a=1

The PMF will be

f (x) = 1/b-a

f (x) = 1/3-1

f (x) = 1/2

f (x) = 0.5