To find the marginal p.m.f. of 𝑌, denoted as 𝑝𝑌(𝑦), we need to follow these steps:

1. Start with the joint probability mass function (p.m.f.) of 𝑋 and 𝑌, denoted as 𝑝(𝑥, 𝑦).

2. Sum up the probabilities of all possible values of 𝑋 for each fixed value of 𝑌. This will give us the marginal p.m.f. of 𝑌.

3. Mathematically, the marginal p.m.f. of 𝑌 can be calculated as:

𝑝𝑌(𝑦) = ∑𝑥 𝑝(𝑥, 𝑦)

where ∑𝑥 represents the summation over all possible values of 𝑋.

4. Repeat this process for each value of 𝑌 to obtain the complete marginal p.m.f. of 𝑌.

By following these steps, you can find the marginal p.m.f. of 𝑌, 𝑝𝑌(𝑦).

Question

To find the marginal p.m.f. of 𝑌, denoted as 𝑝𝑌(𝑦), we need to follow these steps:

1. Start with the joint probability mass function (p.m.f.) of 𝑋 and 𝑌, denoted as 𝑝(𝑥, 𝑦).

2. Sum up the probabilities of all possible values of 𝑋 for each fixed value of 𝑌. This will give us the marginal p.m.f. of 𝑌.

3. Mathematically, the marginal p.m.f. of 𝑌 can be calculated as:

𝑝𝑌(𝑦) = ∑𝑥 𝑝(𝑥, 𝑦)

where ∑𝑥 represents the summation over all possible values of 𝑋.

4. Repeat this process for each value of 𝑌 to obtain the complete marginal p.m.f. of 𝑌.

By following these steps, you can find the marginal p.m.f. of 𝑌, 𝑝𝑌(𝑦).

Knowee AI · Accepted Answer