Let X and Y be random variables with joint pdf f(x, y) = 3x1{0 0.25}). (c) Compute the marginal density functions, fx(x) and fy(y).
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
So, I figured out how to solve part (a) of this question. However, I do not understand how to apply the integral calculations or 3x to part (b). So, please explain your solution steps to me. I want to learn how to solve these problems, but I am having some difficulty teaching myself. Thank you!
![Let X and Y be random variables with joint pdf
f(x, y) = 3x1{0 < y <x < 1}.
(a) Confirm that f(x, y) is a joint density function by showing that
L lo f(x, y) dy dx = 1.
R
(b) Compute P({0 < X < 0.5}N{Y > 0.25}).
(c) Compute the marginal density functions, fx(x) and fy(y).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2be4efe6-02a6-4a12-81ad-27e46b66d7a4%2F16e84049-75f6-47b7-8a2c-27784de9e216%2Ff1dkdn_processed.png&w=3840&q=75)
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